Question

Justin wants to use 188 ft of fencing to fence off the greatest possible rectangular area for a garden. What dimensions should he use? What will be the area of the garden?

A. 89 ´ 99 ; 8811 ft
B. 92 ´ 96 ; 8832 ft
C. 94 ´ 94 ; 8836 ft
D. 93 ´ 95 ; 8835 ft

Answer 1

The answer is C. 94 ´ 94 ; 8836 ft.

There are 4 possible gardens, each with different areas. From the biggest area to the smallest one:
8836 ft (C.) > 8835 ft (D.) > 8832 ft (B.) > 8811 ft (A.)

Thus, the greatest possible area for a garden will be 8836 ft (choice B.). It should also be taken into consideration that this is a square ( 94 ´ 94 ) which is for surely rectangle.