Question 45 Answer and Explanation _ACT June 2019 Form B02 Math Section

45. Florencia has 60 feet of fencing and a 4-foot-wide gate to use to enclose a dog pen. Among the following, a dog pen of which shape and dimensions will have the largest area if only the fencing and the gate are used to enclose it?

A. A square with a side length of 16 feet

B. A square with a side length of 17 feet

C. A rectangle with a length of 14 feet and a width of 16 feet

D. A rectangle with a length of 15 feet and a width of 17 feet

E. A rectangle with a length of 15 feet and a width of 18 feet

Answer and Explanation

Your Answer is

Correct Answer is A

Explanation

Among rectangles with equal perimeters, the one with the largest area is a square. So the side length of the largest kennel is (60+4) ÷ 4 = 16.