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A/Q;
CASE 1
L=B+9
B=B
Ar=L*B= (B+9)*B
CASE 2
L=B+9+3= B+12
B=B+3
Ar= (B+12)(B+3)
= (B+9)*B+84 = (B+12)(B+3)
= B^2+9B+84 = B^2+3B+12B+36
= 9B +84= 15B+36
= 84-36 = 15B-9B
= 48 = 6B
Therefore,
B=8
Hence;
Original Length= L = B+9 = 8+9 = 17
Original Breadth= B = 8
Answered by
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YOUR ANSWER
let the breadth of the given rectangle=x cm
then it's length=(x+9)cm
area of the given rectangle=[x(x+9)]
new breadth = (x+3)cm
new length =[(x+9)+3]cm = (x+12)cm
area of the new rectangle = [(x+12)(x+3)]cm
(area of the new rectangle)-(area of given rectangle)=84cm
=(x+12)(x+3)-x(x+9)=84
=(x squre+15x+36)-(x squre+9x)=84
=6x+36=84
=6x=48
=x=48/6=8
thus breadth=8cm
and length=(8+9)=17cm
Hope this will help you...
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