Question

The ratio of length and breadth of rectangle is 3:2 and its perimeter is 100m . Lets find the area of rectangle.

Answer 1

Heya


Perimeter of rectangle = 100m

ratio of length is to breadth = 3:2 = 3x : 2x

Perimeter = 2(l+b)

P = 2(3x+2x)

= 6x + 4x = 10x

10x = 100 ; x = 100/10 = 10


l = 3x = 3 × 10 = 30 m

b = 2x = 2 × 10 = 20 m

Area of rectangle = length × breadth ( l×b )

A = 30 × 20  = 600 sq.m


=======================================================


THANKS

Answer 2

Let the length And breadth be 3x and 2x
Therefore,
2(3x+2x)=100
5x=100/2
5x=50
x=50/5
x=10

Length=3x=3×10=30 m
Breadth=2x=2×10=20 m
Area=length× breadth
=30×20=600 m^2 (ans)