The width of a rectangle is one half it's length. The perimeter is 54 cm. What are the width and the length of the rectangle?

Question

Emery Gillespie

Mathematics

13 December, 17:04

The width of a rectangle is one half it's length. The perimeter is 54 cm. What are the width and the length of the rectangle?

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Halle · Answer 1

If the width is w and the length is l, we have l/2=w and 2w+2l=54 (given the formula for the perimeter of a rectangle). Plugging l/2=w into the second equation, we have 2 (l/2) + 2l=54=l+2l=3l. Dividing both sides by 3, we get l=18. Since w=l/2, w=18/2=9