How to find the perimeter of a rectangle - ISEE Upper Level: Quantitative Reasoning

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Question

. Which is the greater quantity?

(a) The perimeter of the square on the coordinate plane with vertices

(b) The perimeter of the rectangle on the coordinate plane with vertices

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Answer

(a) The square has sidelength , and therefore has perimeter .

(b) The rectangle has width and height , so therefore has perimeter

.

The perimeters are the same.

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