The length and breadth of a rectangle are in the ratio 8:5. If the length is increased by 10cmand breadth by 10cm, then the new perimeter is 170cm. What is the area of the originalrectangle​

Given, the length and breadth of a rectangle are in the ratio 3:2 respectively.

Then let the length and breadth of the rectangle be 3x,2x respectively.

If the sides of the rectangle are extended on each side by 1 m then length and breadth will be 3x+1 m and 2x+1 m.

According to the problem,

2x+13x+1=710

or, 20x+10=21x+7

or, x=3.

So length and breadth are 9,6 m respectively.

Now area of the rectangle be 9×6=54 m2.