SOLUTION: The perimeter of rectangle is 240cm if it's length decreased by 1o% and the breadth is increased by 20% we get the same perimeter. Find the original length and breadth of the recta

Algebra ->  Linear-equations -> SOLUTION: The perimeter of rectangle is 240cm if it's length decreased by 1o% and the breadth is increased by 20% we get the same perimeter. Find the original length and breadth of the recta      Log On


   



Question 1036586: The perimeter of rectangle is 240cm if it's length decreased by 1o% and the breadth is increased by 20% we get the same perimeter. Find the original length and breadth of the rectangle
Answer by ikleyn(52781) About Me  (Show Source):
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The perimeter of rectangle is 240cm if it's length decreased by 1o% and the breadth is increased by 20% we get the same perimeter.
Find the original length and breadth of the rectangle
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   x +    y = 120,      (1)     ( 120 = 240%2F2 )
0.9x + 1.2y = 120.      (2)

Multiply eq. (1) by 0.9 and distract from the eq. (2). You will get

0.3y = 120 - 108,

0.3y = 12,

y = 12%2F0.3 = 40.

Answer. The width was 40 cm, the length was 120 - 40 = 80 cm.