Question

The length of a rectangle is five centimeters more than its width, w. If the perimeter of the rectangle is 26 centimeters, what is the area of the rectangle, in square centimeters?

A.104
B.676
C.36
D.26

Answer 1

L is 5 more than W
L=5+W
P=2(L+W)
P=26
26=2(L+W)
L=5+W
sub
26=2(5+W+W)
divide both sides by 2
13=5+W+W
13=5+2W
minus 5 both sides
8=2W
divide 2 both sides
4=W

L=5+W
L=5+4
L=9

L=9 cm
W=4 cm

area=LW
area=9*4
are=36 cm^2

C is answer