Question

12. Two consecutive sides of a rectangle are in the ratio 3:2. If its perimeter is
150cm, then find its area?​

Answer 1

Answer:

Step-by-step explanation:

Given :

Sides : Ratio of 3:2

Perimeter : 40cm

To Find :

Length

Solution :

We know how to find the perimeter of a rectangle :

➜ 2( l + b)

Putting up the values we get :

➜ 40 = 2( 3x + 2x)

➜ 40 = 2×5x

➜ 40/2 = 5x

➜ 20 = 5x

➜x = 20/5

➜x = 4

When x = 4 ;

we need to substitute value of x in the ratios :

3x = 3×4 => 12cm

2x = 2×4=> 8cm

So the length: 12cm and breadth : 8cm

Let's verify the answer :

➜2( l + b)

➜ 2(12 + 8) = 40

➜ 2×20 = 40

➜ 40 = 40

LHS = RHS

Answer 2

Answer:

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

Step-by-step explanation: