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 x 99 ; 8811 ft

B. 92 x 96 ; 8832 ft

C. 94 x 94 ; 8836 ft

D. 93 x 95 ; 8835 ft

Answer 1

we are given the parameter of a rectangular area of 188 ft and we are asked to determine the dimensions of the rectangular area. In this case,
P = L + w188 = L + W
A = LWA = L *( 188-L) = 188 L - L2 dA = 188 - 2 L = 0 L = 94 ftW = 94 ft
A = 8836 ft2
Answer then is C