Hexagons - ISEE Upper Level: Quantitative Reasoning
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A regular hexagon has the same perimeter as the above right triangle. What is the length of one side of the hexagon?
A regular hexagon has the same perimeter as the above right triangle. What is the length of one side of the hexagon?
Tap to reveal answer
By the Pythagorean Theorem, the hypotenuse of the right triangle is
inches, making its perimeter
inches.
The regular hexagon, which has six sides of equal length, has the same perimeter, so each side measures
inches.
By the Pythagorean Theorem, the hypotenuse of the right triangle is
The regular hexagon, which has six sides of equal length, has the same perimeter, so each side measures
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A regular hexagon has the same perimeter as the above right triangle. What is the length of one side of the hexagon?
A regular hexagon has the same perimeter as the above right triangle. What is the length of one side of the hexagon?
Tap to reveal answer
By the Pythagorean Theorem, the hypotenuse of the right triangle is
inches, making its perimeter
inches.
The regular hexagon, which has six sides of equal length, has the same perimeter, so each side measures
inches.
By the Pythagorean Theorem, the hypotenuse of the right triangle is
The regular hexagon, which has six sides of equal length, has the same perimeter, so each side measures
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The perimeter of a regular hexagon is one mile. Give the sidelength in feet.
The perimeter of a regular hexagon is one mile. Give the sidelength in feet.
Tap to reveal answer
One mile is equal to 5,280 feet, so divide this by 6:
feet
One mile is equal to 5,280 feet, so divide this by 6:
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If the sum of 
angles in a hexagon is equal to 
, what is the value of the remaining sixth angle?
If the sum of
Tap to reveal answer
The sum of the angles in a polygon can be found using the equation below, in which t is equal to the total sum of the angles, and n is equal to the number of sides.
Given that a hexagon has 6 angles, the total number of angles will be:
Given that 5 of the angles have a sum of 650 degrees, we would subtract 650 from 720, resulting in 70 degrees.
The sum of the angles in a polygon can be found using the equation below, in which t is equal to the total sum of the angles, and n is equal to the number of sides.
Given that a hexagon has 6 angles, the total number of angles will be:
Given that 5 of the angles have a sum of 650 degrees, we would subtract 650 from 720, resulting in 70 degrees.
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What is the sidelength, in feet and inches, of a regular hexagon with perimeter 16 feet?
What is the sidelength, in feet and inches, of a regular hexagon with perimeter 16 feet?
Tap to reveal answer
Divide the perimeter 16 feet by 6 to get the sidelength of the hexagon in feet:
Two-thirds of a foot is equal to eight inches, so this sidelength is 2 feet 8 inches.
Divide the perimeter 16 feet by 6 to get the sidelength of the hexagon in feet:
Two-thirds of a foot is equal to eight inches, so this sidelength is 2 feet 8 inches.
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The perimeter of a hexagon is 96cm. Find the length of one side.
The perimeter of a hexagon is 96cm. Find the length of one side.
Tap to reveal answer
A hexagon has 6 equal sides. To find the length of one side of a hexagon, we will use the formula to find the perimeter.
where a is the length of one side. So, we will solve for a.
Now, we know the perimeter of the hexagon is 96cm. So, we get
Therefore, the length of one side of the hexagon is 16cm.
A hexagon has 6 equal sides. To find the length of one side of a hexagon, we will use the formula to find the perimeter.
where a is the length of one side. So, we will solve for a.
Now, we know the perimeter of the hexagon is 96cm. So, we get
Therefore, the length of one side of the hexagon is 16cm.
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A hexagon has a perimeter of 114in. Find the length of one side.
A hexagon has a perimeter of 114in. Find the length of one side.
Tap to reveal answer
A hexagon has 6 equal sides. The formula to find perimeter of a hexagon is:
where a is the length of any side. Now, to find the length of one side, we will solve for a.
We know the perimeter of the hexagon is 114in. So, we will substitute and solve for a. We get
Therefore, the length of one side of the hexagon is 19in.
A hexagon has 6 equal sides. The formula to find perimeter of a hexagon is:
where a is the length of any side. Now, to find the length of one side, we will solve for a.
We know the perimeter of the hexagon is 114in. So, we will substitute and solve for a. We get
Therefore, the length of one side of the hexagon is 19in.
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Find the perimeter of a hexagon with one side having a length of 15cm.
Find the perimeter of a hexagon with one side having a length of 15cm.
Tap to reveal answer
To find the perimeter of a hexagon, we will use the following formula:
where a is the length of one side of the hexagon.
Now, we know the length of one side of the hexagon is 15cm.
Knowing this, we can substitute into the formula. We get
To find the perimeter of a hexagon, we will use the following formula:
where a is the length of one side of the hexagon.
Now, we know the length of one side of the hexagon is 15cm.
Knowing this, we can substitute into the formula. We get
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Find the perimeter of a hexagon with a side having a length of 13cm.
Find the perimeter of a hexagon with a side having a length of 13cm.
Tap to reveal answer
A hexagon has 6 sides. So, to find the perimeter, we will use the following formula:
where a is the length of one side.
Now, we know a side has a length of 13cm. Knowing this, we can substitute into the formula.
A hexagon has 6 sides. So, to find the perimeter, we will use the following formula:
where a is the length of one side.
Now, we know a side has a length of 13cm. Knowing this, we can substitute into the formula.
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A hexagon has a side of length 13cm. Find the perimeter.
A hexagon has a side of length 13cm. Find the perimeter.
Tap to reveal answer
To find the perimeter of a hexagon, we will use the following formula:
where a is the length of one side of the hexagon. We multiply it by 6 because a hexagon has 6 equal sides.
So, we know the length of one side is 13cm. Knowing this, we can substitute into the formula. We get
To find the perimeter of a hexagon, we will use the following formula:
where a is the length of one side of the hexagon. We multiply it by 6 because a hexagon has 6 equal sides.
So, we know the length of one side is 13cm. Knowing this, we can substitute into the formula. We get
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Find the perimeter of a hexagon with a side having a length of 12in.
Find the perimeter of a hexagon with a side having a length of 12in.
Tap to reveal answer
To find the perimeter of a hexagon, we will use the following formula:
where a is the length of one side of the hexagon. Because a hexagon has 6 equal sides, we can use any side in the formula.
So, we know the length of one side is 12in. So, we can substitute. We get
To find the perimeter of a hexagon, we will use the following formula:
where a is the length of one side of the hexagon. Because a hexagon has 6 equal sides, we can use any side in the formula.
So, we know the length of one side is 12in. So, we can substitute. We get
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Find the perimeter of a hexagon with a side having a length of 7cm.
Find the perimeter of a hexagon with a side having a length of 7cm.
Tap to reveal answer
A hexagon has 6 equal sides. To find the perimeter of a hexagon, we will use the following formula:
where a is the length of one side of the hexagon.
Now, we know one side has a length of 7cm. So, we get
A hexagon has 6 equal sides. To find the perimeter of a hexagon, we will use the following formula:
where a is the length of one side of the hexagon.
Now, we know one side has a length of 7cm. So, we get
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Find the perimeter of a hexagon if it contains a side having a length of 17cm.
Find the perimeter of a hexagon if it contains a side having a length of 17cm.
Tap to reveal answer
To find the perimeter of a hexagon, we will use the following formula:
where a is the length of one side of the hexagon.
Now, we know the length of one side of the hexagon is 17cm.
Knowing this, we can substitute into the formula. We get
To find the perimeter of a hexagon, we will use the following formula:
where a is the length of one side of the hexagon.
Now, we know the length of one side of the hexagon is 17cm.
Knowing this, we can substitute into the formula. We get
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What is the perimeter of a hexagon with a side length of 1?
What is the perimeter of a hexagon with a side length of 1?
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A hexagon has 6 similar sides.
The formula to find the perimeter of a hexagon is:
Substitute the side into the equation.
The perimeter of the hexagon is 
.
The answer is: 
A hexagon has 6 similar sides.
The formula to find the perimeter of a hexagon is:
Substitute the side into the equation.
The perimeter of the hexagon is
The answer is:
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A regular hexagon has the same perimeter as the above right triangle. What is the length of one side of the hexagon?
A regular hexagon has the same perimeter as the above right triangle. What is the length of one side of the hexagon?
Tap to reveal answer
By the Pythagorean Theorem, the hypotenuse of the right triangle is
inches, making its perimeter
inches.
The regular hexagon, which has six sides of equal length, has the same perimeter, so each side measures
inches.
By the Pythagorean Theorem, the hypotenuse of the right triangle is
The regular hexagon, which has six sides of equal length, has the same perimeter, so each side measures
← Didn't Know|Knew It →
A regular hexagon has the same perimeter as the above right triangle. What is the length of one side of the hexagon?
A regular hexagon has the same perimeter as the above right triangle. What is the length of one side of the hexagon?
Tap to reveal answer
By the Pythagorean Theorem, the hypotenuse of the right triangle is
inches, making its perimeter
inches.
The regular hexagon, which has six sides of equal length, has the same perimeter, so each side measures
inches.
By the Pythagorean Theorem, the hypotenuse of the right triangle is
The regular hexagon, which has six sides of equal length, has the same perimeter, so each side measures
← Didn't Know|Knew It →
The perimeter of a regular hexagon is one mile. Give the sidelength in feet.
The perimeter of a regular hexagon is one mile. Give the sidelength in feet.
Tap to reveal answer
One mile is equal to 5,280 feet, so divide this by 6:
feet
One mile is equal to 5,280 feet, so divide this by 6:
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If the sum of angles in a hexagon is equal to , what is the value of the remaining sixth angle?
If the sum of
Tap to reveal answer
The sum of the angles in a polygon can be found using the equation below, in which t is equal to the total sum of the angles, and n is equal to the number of sides.
Given that a hexagon has 6 angles, the total number of angles will be:
Given that 5 of the angles have a sum of 650 degrees, we would subtract 650 from 720, resulting in 70 degrees.
The sum of the angles in a polygon can be found using the equation below, in which t is equal to the total sum of the angles, and n is equal to the number of sides.
Given that a hexagon has 6 angles, the total number of angles will be:
Given that 5 of the angles have a sum of 650 degrees, we would subtract 650 from 720, resulting in 70 degrees.
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What is the sidelength, in feet and inches, of a regular hexagon with perimeter 16 feet?
What is the sidelength, in feet and inches, of a regular hexagon with perimeter 16 feet?
Tap to reveal answer
Divide the perimeter 16 feet by 6 to get the sidelength of the hexagon in feet:
Two-thirds of a foot is equal to eight inches, so this sidelength is 2 feet 8 inches.
Divide the perimeter 16 feet by 6 to get the sidelength of the hexagon in feet:
Two-thirds of a foot is equal to eight inches, so this sidelength is 2 feet 8 inches.
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The perimeter of a hexagon is 96cm. Find the length of one side.
The perimeter of a hexagon is 96cm. Find the length of one side.
Tap to reveal answer
A hexagon has 6 equal sides. To find the length of one side of a hexagon, we will use the formula to find the perimeter.
where a is the length of one side. So, we will solve for a.
Now, we know the perimeter of the hexagon is 96cm. So, we get
Therefore, the length of one side of the hexagon is 16cm.
A hexagon has 6 equal sides. To find the length of one side of a hexagon, we will use the formula to find the perimeter.
where a is the length of one side. So, we will solve for a.
Now, we know the perimeter of the hexagon is 96cm. So, we get
Therefore, the length of one side of the hexagon is 16cm.
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