Question

the length and breadth of a rectangular field are in the ratio 3: 2 and its perimeter is 250 m find its area

Answer 1

Answer:

3750m^{2}

Step-by-step explanation:

2(3x + 2x) = 250m

3x + 2x = 250/2 = 125m

∴5x = 125m

∴x = 125/5 = 25m

∴x = 25m

length = 3x = 3 x 25 = 75m

breadth = 2x = 2 x 25 = 50m

Area = l x b = 75 x 50 m = 3750m^{2}

Answer 2

Let's assume the length and breadth of rectangular field be in ratio of 3x:2x

Given,perimeter of rectangular field = 250 m

perimeter of rectangular field=2(l+b)

250 = 2(3x+2x)

x= 25

• length = 75 m
• breadth = 50 m

area of rectangular field = L×B

= 75 ×50

=3750 m²