PreAlgerbra
posted by Layla on .
Someone help explain?
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?
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A. 89 ´ 99 ; 8811 ft
B. 92 ´ 96 ; 8832 ft
C. 94 ´ 94 ; 8836 ft
D. 93 ´ 95 ; 8835 ft

none of the choices has a perimeter of 188 ft. All have a perimeter of 376 ft.
A square has maximum area for a given perimeter, so the garden should be 47 by 47, with area = 2209.
Assuming one of the given choices, you'd want a square, so go with 94x94. Heck, the table shows it has the largest area.