Question

the length of a rectangle exceeds its breadth by 7cm.if the length decreased by 4cm and the breadth is increased by 3cm,the area of the new rectangle is the same as the area of the original rectangle.find the leangth and breadth of original rectangle.







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Answer 1

Refer to the attached image ☺️

Answer 2

Answer:

Length= 16cm

Breadth= 9cm

Step-by-step explanation:

Let,

Breadth be x

Then,

length is x+7

We know that,

l*b= area of rectangle

So,

x*x+7= x^2+7x

Now,

New length is x+7-4= x+3

New breadth is x+3

Therefore, area will be (x+3)^2

So,

Area will be x^2+6x+9

But it is given that new area= old area

So,

x^2+6x+9 = x^2+7x

Now,

9 = x^2-x^2+7x-6x

9 = x

x = breadth = 9

x+7 = length = 9+7 = 16

Therefore,

the length is 16 and breadth is 9.