Question

The ratio between length and breadth of rectangular part is 3:2,the perimeter is 1600m.Find the area of rectangle

Answer 1

Let the length be 3a

Width = 2a

Perimeter = 1600

=> 2(L+B) = 1600

=> 3a+2a = 800

=> 5a = 800

=> a = 160

Length = 480 m

Width = 320 m


Area = Length *Width

= 480 * 320

= 153600 m^2

Answer 2

Heya,

Given:-
Ratio between length and breadth = 3:2
Perimeter of the rectangle = 1600m

To find:-
Area

Solution:-
Perimeter = 2 ( l + b )

Let's assume 3:2 as 3x & 2x

1600 = 2 ( 3x + 2x )

1600 = 2 × 5x

1600 = 10x

1600/10 = x

160 = x

Therefore,
The sides are
3x = 3 × 160 = 480
2x = 2 × 160 = 320

=> Area = l × b

=> Area = 480 × 320

=> Area = 1,53,600m^2

Hope my answer helps you :)

Regards,
Shobana