the length of a rectangle exceeds it's breadth by 9 CM. If the length and breadth are each increased by 3 CM the area of the newly formed rectangle will be greater than the area of the original rectangle by 84 CM² . Find the length and breadth of original rectangle
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Answer:
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Step-by-step explanation:
Let the breadth of given rectangle be xcm.
So, its length be (x+9)cm.
Area of given rectangle=(x+9)*(x).
Now,
Breadth of new rectangle=(x+3)cm.
And, length of new rectangle=(x+9+3)cm or (x+12)cm.
Area of new rectangle=(x+12)*(x+3).
A/q,
Area of new rectangle=84+area of given rectangle,1st process
or
(area of new rectangle)-(area of given rectangle)=84 2nd process.
I will solve it by 1st process,
(x+12)*(x+3)=84+(x+9)*(x)
xsq.+15x+36=84+xsq.+9x
xsq.+15x-xsq.-9x=84-36
xsq.-xsq.+15x-9x=84-36
6x=48
x=48/6
x=8
Therefore, breadth=8cm.
And, length=(8+9)cm=17cm
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