Question

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 ​

Answer 1

Answer:

Hope Its Clear

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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