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The area of a square and a rectangle are equal. The length of the rectangle is greater
than the length of any side of the square by 5 cm and breadth is less by 3 cm. Then the
perimeter of the rectangle is ?

Asked by Aniket 16th May 2016, 6:58 PM
Answered by Expert
Answer:

Area space of space rectangle space space equals space Area space of space square
lb space equals space straight a squared.......... left parenthesis straight i right parenthesis

The space length space of space the space rectangle space is space greater space than space the space length space of space any space side space of space the space square space by space 5 space cm space and space breadth space is space less space by space 3 space cm
straight l space equals space straight a space plus space 5............. left parenthesis ii right parenthesis
straight b space equals space straight a minus 3.............. left parenthesis iii right parenthesis

from space left parenthesis straight i right parenthesis

open parentheses straight a space plus space 5 close parentheses open parentheses straight a space minus space 3 close parentheses space equals space straight a squared
straight a squared space plus 2 straight a space minus 15 space equals space straight a squared
straight a space equals space 15 over 2

from space left parenthesis ii right parenthesis space space space space and space left parenthesis iii right parenthesis

straight l space equals space straight a space plus space 5 space equals space 15 over 2 space plus space 5 space equals 25 over 2
straight b space equals space straight a minus 3 space equals space 15 over 2 space minus space 3 space equals 9 over 2

Perimetre space of space rectangle space equals space 2 open parentheses straight l plus straight b close parentheses space equals 2 open parentheses 25 over 2 plus 9 over 2 close parentheses equals 34

Answered by Expert 16th May 2016, 7:14 PM
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