the length of a rectangle is greater than its breadth by 18 cm. if both length and breadth are increased by 6cm, the area of new rectangle formed is 168cm more than original rectangle. find the length and breadth of the original rectangle
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Step-by-step explanation:
Initially assume breadth =x,then length = (x+18)
Area of rectangle = length * breadth
Area = x(x+18)=x^2+18x
Area after increasing length and breadth by 6 cm was (x+6)*(x+24)
New area = x^2+30x+144 ,which is equal to previous area increased by 168
Therefore final equation was
x^2+18x+168= x^2+30x+144
Solving x=2cm ( ie.., breadth of rectangle)
And length = 2+18= 20 cm
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