the plans for a shed call for a rectangular floor with a perimeter of 240. the length is two times the width. find the length and the width

Question

the plans for a shed call for a rectangular floor with a perimeter of 240. the length is two times the width. find the length and the width

Answer 1

We define the perimeter of a rectangle as 2l + 2w, where l is the length and w is the width. In this case, we have 2l + 2w = 240.

The problem also tells us that l = 2w. So, we can substitute this into our perimeter formula:

2l + 2w = 2(2w) + 2w = 240.

Simplifying, we get 6w = 240, so w = 40.

We can refer to l = 2w to get the length. Because w = 40, we have l = 2(40) = 80.

So, the length is 80 and the width is 40.