Question

Q # 2 please help to solve

Answer 1

A rectangle with the greatest area is actually a square, with both the length and the width the same dimension.


 The answer would be C. 94 x 94, 8836 ft.

Answer 2

For this case, the first thing we must do is define variables.
 We have then:
 w: width
 l: long
 We write the perimeter of the garden:
 $P = 2w + 2l = 376$
 Then, the garden area is:
 $A = w * l$
 Writing the area depending on the width we have:
 $A (w) = w * ((1/2) * (376 - 2w))$
 Rewriting we have:
 $A (w) = (1/2) * (376w - 2w ^ 2)$
 Deriving the area we have:
 $A '(w) = (1/2) * (376 - 4w)$
 We equal zero and clear w:
 $(1/2) * (376 - 4w) = 0 376 = 4w w = 376/4 w = 94 feet$
 Then, the length is:
 $l = (1/2) * (376 - 2w) l = (1/2) * (376 - 2 (94)) l = 94 feet$
 Finally, the area is given by:
 $A = w * l A = 94 * 94 A = 8836 feet ^ 2$
 Answer:
 94 * 94; 8836
 option 3