the length of a rectangle exceeds with 9 cm if the length and breadth are each increased by 3cm the area of the new rectangle will be 84 CM square more than that of the given rectangle find the length and breadth of the given rectangle
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Step-by-step explanation:
let the length of rectangle be x+9
and breadth be x
if the length and breadth increased by 3cm,
area of rectangle = (x+9)( x) - 84cm²
(x+12) (x+3)= x²+9x + 84 cm²
x²+12+ 3x +36 = x² +9x+ 84cm²
15x -9x = 84-36
6x = 48
x= 8
breadth = 8cm
length = 8+ 9= 17cm
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