A rectangle is 3 times as long as it is wide. The perimeter is 100cm. Find the dimensions of the rectangle. Round to the nearest tenth if necessary. Show all work.

Question

Mathematics

Cameron

9 September, 12:00

A rectangle is 3 times as long as it is wide. The perimeter is 100cm. Find the dimensions of the rectangle. Round to the nearest tenth if necessary. Show all work.

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Answers (1)

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Nylah Peck · Answer 1

The width is 12.5 and the length is 37.5.

In order to find this, set the width as x and the length as 3x. Now we can multiply them together using the rectangle perimeter formula.

2L + 2W = P

2 (x) + 2 (3x) = 100

2x + 6x = 100

8x = 100

x = 12.5

Now we know the width is 12.5 and we can find the length by multiplying by 3, which is 37.5.