A rectangle has a perimeter 56 cm, and its area is 187 sq-cm. Find the dimensions of this rectangle. (For purposes of this problem only the width is shorter than the length.)

Question

Mathematics

Virginia Cannon

21 December, 02:41

A rectangle has a perimeter 56 cm, and its area is 187 sq-cm. Find the dimensions of this rectangle. (For purposes of this problem only the width is shorter than the length.)

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Answers (1)

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Gary Everett · Answer 1

The rectangle is 11x17.

Step-by-step explanation:

Divide the perimeter by 4.

You have 14 for each side.

You can figure that the sides can be something ending in 17, given that the area equals 187.

If make the rectangle from a 14x14 to an 11x17, then find the area using Base times height, you will find the area to be 187. This is a more intuative approach, which I find the easiest for these sorts of problems.