The width of a rectangular trampoline is 10 feet less than double the length the perimeter is 100 feet what is the width of the trampoline

Answer 1

w = 2L-10

2w + 2L = 100

2(2L-10) + 2L = 100

4L - 20 + 2L = 100

6L - 20 = 100

6L = 120

L = 20

w = 2(20) - 10 = 40-10 = 30

The width is w=30; The length is L=20

Answer 2

Hi, Amber.

So let's set our unknowns:

W(width) = 2L - 10

L = length

Now, we know the perimeter is 2L + 2W and it is equal to 100 feet.

So,

2L + 2W = 100

substituting for W from above equation:

2L + 2(2L - 10) = 100

2L + 4L - 20 = 100

6L = 120

L = 20

So, the length = 20 feet

The width = 2L - 10 = 2(20) - 10 = 40 - 10 = 30 feet