someone pls answer this question....
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Let length be x and breadth be y
(x+2)(y+2)=xy+38. (First equation)
(x+3)(y-3)=xy-18. (Second equation)
Then solve for answer
x=3 and y=7
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Answer:
Let Length of rectangle be x and breadth be y
and area be A,
such that A = x × y
From First statement ,
A + 38 = (x+2)(y+2)
A + 38 = xy + 2x + 2y + 4
A + 34 = xy + 2x + 2y
A + 34 = A + 2x + 2y
x + y = 17 .....(1)
From statement 2 :
A - 18 = ( x + 3 ) ( y - 3 )
A - 18 = xy - 3x + 3y - 9
A - 9 = xy -3x + 3y
A - 9 = A - 3x + 3y
x - y = 9 ....(2)
(1)+(2)
2x =26
x = 13
y = 13 -9= 4
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