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