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CBSE Class 8 Answered

The length of a rectangular hall exceeds its breadth by 7 cm. If the breadth is decreased by 1m and the length increased by 2m the area remains the same.find the length and breadth of the hall
Asked by ajayrath7 | 11 Nov, 2017, 09:38: AM
Expert Answer
Linear Equations in One Variable:
 
begin mathsize 16px style Let space the space breadh space of space rectangle space be space straight x space straight m. rightwards double arrow length space of space straight a space rectangle equals left parenthesis straight x plus 7 right parenthesis space straight m Thus comma space area space of space rectangle equals length space straight x space breadth equals straight x left parenthesis straight x plus 7 right parenthesis space straight m squared For space new space rectangle. breadh equals left parenthesis straight x minus 1 right parenthesis space straight m. length equals left parenthesis straight x plus 7 plus 2 right parenthesis space straight m Thus comma space area space of space new space rectangle equals length space straight x space breadth equals left parenthesis straight x minus 1 right parenthesis left parenthesis straight x plus 7 plus 2 right parenthesis space straight m squared Now comma straight x left parenthesis straight x plus 7 right parenthesis equals left parenthesis straight x minus 1 right parenthesis left parenthesis straight x plus 7 plus 2 right parenthesis rightwards double arrow straight x squared plus 7 straight x equals left parenthesis straight x minus 1 right parenthesis left parenthesis straight x plus 9 right parenthesis rightwards double arrow straight x squared plus 7 straight x equals straight x squared plus 8 straight x minus 9 rightwards double arrow straight x equals 9 equals breadth rightwards double arrow straight x plus 7 equals 9 plus 7 equals 16 equals length end style
Answered by | 08 Dec, 2017, 11:59: AM

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