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

Question

Liula [17]

3 years ago

6

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

Mathematics

1 answer:

dem82 [27] · Answer 1 · 2022-06-27T20:44:27+03:00

dem82 [27]3 years ago

7 0

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