Question

The length of a rectangle is 2 cm less than 4 times its width. If its

perimeter is 36 cm, what is its area?

Answer 1

L=4W-2

P=2L+2W

36= 2(4W-2)+2W

36= 8W-4 +2W

36= 10W-4

36+4=10W

40=10W

40/10=W

W=4

L=4(4)-2

L=14

AREA =L(W)

AREA = 4X14

AREA =48 cm

Answer 2

Explanation:

`L=4W-2\\ \\ P=2(L+W)\\ \\ 2(4W-2+W)=36\\ \\ 5W-2=18\\ \\ 5W=20\\ \\ W=4,\ L=14\\ \\ A=4(14)=56cm^2`