You have a piece of string that measures 36 yards. What is the area of the largest rectangle you can make with the string?

Step-by-step explanation:

Given that the perimeter of the rectangle is = 36 yards

For a rectangle perimeter =

L+L+B+B =

2L+2B = 36

Factoring 2 out we have

2 (L+B) = 36

L+B = 36/2

L+B=18

we know that the area of a rectangle is given as

A = L*B

The maximum area is gotten when

L=B

And when B*B = 36

B*B=36

B^2=36

B=√36

B=6 yards

Substituting B = yards in the expression for perimeter we have

To find L

L + B=18

L+6=18

L=18-6

L = 12

Hence the largest area is

A = 12*6 = 72 yard^2