Question

BRAINIEST! HELP !The ratio of the base and height of a rectangle is 3 to 8. The perimeter of the rectangle is 138.6 cm. (6 points)
Write and solve an equation to find the length of the base and height. Be careful! There are 4 sides in a rectangle.

1.What is the length of the base?
2.What is the length of the height?
3.Calculate the area of the rectangle.

Answer 1

B/h=3/8
8b=3h
8/3b=h
P=2(h+b)
P=138.6

138.6=2(h+b)
divide both sides by 2
69.3=h+b
suub (8/3)b for h
69.3=(8/3)b+b
times both sides by 3 to get rid of fraction
207.9=8b+3b
207.9=11b
divide both sides by 11
18.9=b

sub back

(8/3)b=h
(8/3)18.9=h
50.4=h

area=height times base
aera=50.4 times 18.9
aera=952.56 cm²


1. base=18.9 cm
2. height=50.4 cm
3. area=952.56 cm²