Answer:
84cm^2
Explanation:
P=2l+2w
We are given,
P=40cm
l=2w+2
Plug these into the first formula and solve for the dimensions,
length and width, of the rectangle:
40=2(2w+2)+2w Simplify
40=4w+4+2w
40=6w+4
36=6w
6=w OR the width is 6cm, therefore,
the length is
l=2(6)+2
l=14cm
To calculate the area of a rectangle, A=lw,
plug the length,14cm, and the width, 6cm, into this formula
A=(14)(6)
A=84cm2 OR the area of the rectangle is 84cm^2