Question

the length of a rectangle is 3 cm longer than it’d width. if the perimeter of the rectangle is 38, find it’s area.

Answer 1

88 cm²

Explanation:

w = x

l = x + 3

P = 38

We know that
`P=2l+2w`, so we substitute known values:

`P=2l+2w\\38=2(x+3)+{2(x)}\\38=2x+6+2x\\38=4x+6\\32=4x\\8=x`

Therefore, we know that the width (x) is 8 cm and the length (x + 3) is 8 + 3 = 11 cm. To verify, we can check that the perimeter equals 38:

8 + 11 + 8 + 11 = 38. Check.

Thus, the area of the rectangle is:

`A=l*{w}\\A=11*{8}\\A=88`

Therefore, the area is 88 cm².