SOLUTION: The figure shows a rectangle with its length and breadth as indicated. Given that the perimeter of the rectangle is 120cm. Find the area of the rectangle. 3x-y 2x-3 2x+y 2x-3

Algebra ->  Linear-equations -> SOLUTION: The figure shows a rectangle with its length and breadth as indicated. Given that the perimeter of the rectangle is 120cm. Find the area of the rectangle. 3x-y 2x-3 2x+y 2x-3      Log On


   

Question 1130876: The figure shows a rectangle with its length and breadth as indicated. Given that the perimeter of the rectangle is 120cm. Find the area of the rectangle.
3x-y
2x-3
2x+y
2x-3
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Given that the perimeter of the rectangle is:

P=+120cm

length and breadth as indicated:
3x-y
2x-3
2x%2By
2x-3


3x-y%2B2x-3%2B2x%2By%2B2x-3=+120
3x-cross%28y%29%2B2x-3%2B2x%2Bcross%28y%29%2B2x-3=+120
3x%2B2x%2B2x%2B2x-3-3=+120
9x-6=+120
9x=+120%2B6
9x=+126
x=+126%2F9
x=+14%7D%7D%0D%0A%0D%0A%0D%0A%0D%0A=%3E%0D%0A%7B%7B%7B3x-y=3%2A14-y=42-y
2x-3=2%2A14-3=25
2x%2By=2%2A14%2By=28%2By
2x-3=25

=>42-y=28%2By
=>42-28=y%2By
=>14=2y
=>y=7

then 42-y->42-7->35
and 28%2By->28%2B7->35
so the length is 35 and the width is 25

the area of the rectangle will be:
A=35%2A25=875cm%5E2