Afarmer wants to rebuild his rectangular shaoed cow shed. he wants to use fencing of 20m but he cannot remener the exact dimensions of the first shed. him to re uild the xow shed and what will be the dimensions used? which shed was the latgest area. hiw do i know

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

i believe the answer is the polygon, heptagon.