Question

Carlos is building a fence around a rectangular area which will cover a maximum of 42 square feet. The length of the fence will be 6 feet. Which inequality represents all the possible widths in feet, w, that Carlos can use to build the fence?

A w≥252
B. w≥48
C. w≤36
D. w≤7

USA test prep

Answer 1

D. w ≤ 7

Explanation:

Area = w*l, where w is the width and l is the length, in feet.

We are told that the area must be equal to or less than 42 ft^2:

Area ≤ 42 ft^2

w*l ≤ 42 ft^2

We find that l = 6 ft

w*(6 ft) ≤ 42 ft^2

w ≤ 7 ft

D. w ≤ 7