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ICSE Class 9 Answered

if the length and the breadth of the room are incrreased by 1meter,the area is increased by 21 sqare meters. if the length is increased by 1 meter and the breadth is decreased by 1 meter the area decreses by 5 sqare meters.find the perimeter of the room.
Asked by belal.ahmd | 17 Sep, 2018, 08:41: AM
answered-by-expert Expert Answer
Let x and y be the length and breadth of a rectangle.
According to the question,
(x + 1)(y + 1) = xy + 21
(x + 1)(y + 1) - xy = 21.......(i)
Also,
(x + 1)(y - 1) = xy - 5
(x + 1)(y - 1) - xy = -5........(ii)
 
Solving these equations we get x = 12 and y = 7
Perimeter of a rectangle = 2(12 + 7) = 38 sq m.
Answered by Sneha shidid | 17 Sep, 2018, 10:25: AM

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