Question

The length of a rectangle exceeds its breadth by 9cm.If the length and breadth are increased by 3cm ,area of new rectangle will be 84cmsquare more than of given rectangle.Find the length and breadth of given rectangle

Answer 1

Answer:

Length = 21cm

Breadth = 12cm

Step-by-step explanation:

Given length of a rectangle exceeds its breadth by 9cm.

Let us assume breadth of the rectangle is x cm. So length will be (x+9) cm.

Again, the length and breadth of the rectangle are increased by 3cm. So, new length and breadth of the rectangle are (x+12) and (x+3).

Area of new rectangle is 84squarecm more than the given rectangle.

That means (x+12)(x+3)=84+(x+9)(x)

3x^2+15x+36 = 84 + x^2 + 9x

Which means, x=12cm. That means breadth of rectangle is 12cm and length of rectangle is x+9cm which is equal to 21cm.

Therefore, Length is 21cm

and Breadth is 12cm