Question

Jake is building a fence around his property. He wants the perimeter to be no more than 100 feet. He also wants the length to be at

least 10 feet longer than the width. If he builds his fence according to these limits, which would be the maximum possible width of
the fence?

Answer 1

C

Explanation:

Let the length be l and width be w.

The perimeter will be 2 lengths + 2 widths = 2l+2w

2l+2w cannot be more than 100ft

`21+2w \leq 100`

Also, the length has to be at least 10ft longer than the width.

`l\geq w+10`

If we substitute w=20, l=30. 2l+2w can be equal to 100 but not over it.

If w=20 and l=30, 2w+2l = 40+60 = 100.

Hence the maximum length of the width of the fence is 20 ft. C