Question

[50 POINTS] Can someone please help??

Answer 1

Answer:

21.75 m x 21.75 m

Step-by-step explanation:

87 m of fencing

perimeter:   $2l+2w=87$

⇒  $l=\frac{87-2w}{2}$

area $A=wl$

⇒  $A=w(\frac{87-2w}{2} )=\frac{87}{2} w-w^2$

Max area when $\frac{dA}{dw} =0$

$\frac{dA}{dw} =\frac{87}{2} -2w=0$  ⇒  $w=21.75$

Therefore,

$2l+2(21.75)=87$  ⇒  $l=21.75$

So the dimensions are L = 21.75 and W = 21.75

I know that this is a square, but all squares are technically rectangles.