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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

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rspill6

Answer:

D.  w ≤ 7

Step-by-step 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