The length of a rectangle exceeds its breadth by 9 cm . If the length and breadth are each increased by 3 cm , the area of the new rectangle will be 84square cm more than that of the given rectangle. Find the length and breadth of the given rectangle
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Answer:
length= 8cm and breadth= 17cm
Step-by-step explanation:
Let x be length of rectangle and x+9 be breadth .
Area= l*b= x*(x+9)
Given condition :
(x+3)(x+9+3)=x(x+9)+84
x^2+15x+36=x^2+9x+84
15x-9x=84-36
6x=48
x=8 cm
so length= x= 8 cm
breadth= x+9= 8+9=17cm
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