the length of a rectangle is 4 cm more than its breadth if the length is increased by 4 cm and breadth is decreased by 2 cm the area remains the same as that of the original rectangle and the length and breadth of the rectangle
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Step-by-step explanation:
the breadth is x
then the length is = 4 + x
now by the condition
then the breadth become = x -2
then the length become = x + 8
now the area of two rectangles are same
(x) x ( x + 4) = (x +8 ) x (x -2)
x² + 4x = x² + 8x - 2x -16
4x = 6x - 16
2x = 16
x =8
so the length is = x + 4
= 8+4
= 12
the breadth is 8 cm
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