Question

Write and simplify the equation you would use to solve the problem below.

A farmer builds a rectangular pen with a perimeter of 116 feet. If the length is 5 feet more than the width, what is the width?
A.w + 5 = 116
B.4w + 10 = 116
C.2w + 5 = 116
D.2w + 10 = 116

need a hand i cant figure this one out

Answer 1

4w + 10 = 116

Explanation:

Call the width w.

The length is 5 more than that, so the length is w + 5

Perimeter is 2w + 2l

2w + 2(w+5) = 116

Distribute the 2 to the values in the parentheses.

2w + 2w + 10 = 116

Combine like terms

4w + 10 = 116