Question

the length and breadth of a rectangular region are in the ratio 3 is to 2 and its perimeter is 100m
find the area of the plot

Answer 1

Let the ratio be 3x and 2x.

2 ( 3x + 2x ) = 100

= 5x = 50

X = 10

3x = 30

2x = 20

Area = 30 × 20 = 600 m^2 Ans.

Answer 2

Length = 3x
Breadth = 2x

Perimeter = 2 (l+b)

100 = 2 (3x+2x)

50 = 5x

50/5 = x

x = 10 m

Therefore,

Length = 3x & Breadth = 2x

= 3 × 10 = 2 × 10

= 30 m = 20m

Area = Length × Breadth

= 30 × 20

= 600sq.m