**Problem 1:** If the perimeter of a rectangle and a square are equal and the ratio of two adjacent sides of the rectangle is 1: 2 then the ratio of the area of the rectangle and that of the square is?

Solution:

Length =x , Breadth = y

If the perimeter of a rectangle and a square are equal

2(l+b) = 4a

2(x+2x) = 4a

3x=2a

8 : 9

**Problem 2:**The cost of fencing a circular plot at the rate of Rs.15 per meter is Rs.3300. What will be the cost of flooring the plot at the rate of Rs.100 per square meter?

Solution:

RS. 15 —–> 1meter

RS. 3300—–>?m

Perimeter = 220

r=35

Area =

1m——->RS.100

3850m—->? 3850*100 = 385000