SOLUTION: the length of a rectangle is 8 cm more than its width if its perimeter is 88 cm what are the dimension? what is its area?

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Question 635401: the length of a rectangle is 8 cm more than its width if its perimeter is 88 cm what are the dimension? what is its area?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
given:
P=2%28a%2Bb%29

if the length of a rectangle is a=8cm more than its width b, we have
a=b%2B8cm........1
if its perimeter is P=88cm, we have
2%28a%2Bb%29=88cm.........2

what are the dimension?

a=b%2B8cm........1....substitute a in 2
2%28b%2B8cm%2Bb%29=88cm.........2..solve for b
%282b%2B8cm%29=88cm%2F2
%282b%2B8cm%29=44cm

2b=44cm-8cm
2b=36cm
highlight%28b=18cm%29.........now find a
a=b%2B8cm........1
a=18cm%2B8cm
highlight%28a=26cm%29

what is its area?
now find the area A
A=ab
A=26cm%2A18cm
highlight%28A=468cm%5E2%29