Answer:
The largest area is 25m^2
Step-by-step explanation:
20m of fencing means the perimeter of the rectangle.
The get the maximum area, use optimization, which is for the rectangle to be closest to a square.
Let's assume only whole numbers for this problem.
Equation for perimeter: P = 2(l+w)
Sub the perimeter and isolate for the dimensions.
P = 2(l+w)
20 = 2(l+w)
10 = l+w <= for the shed to be square, length should be same as width
10 = 2w <=if l=w, 2w = l+w
w = 5
The length and width can both can be 5.
Equation for Area: A = lw
A = lw
A = (5)(5)
A = 25
The largest area is 25m^2
