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