Question

The perimeter of a rectangle is 120 Cm. The ratio of it’s length and width is 2:1 Find the area of the

rectangle

(a) 700 cm2 (b) 850 cm2 (c) 600 cm2 (d) 800 cm2​

Answer 1

Answer:

800cm²

Step-by-step explanation:

Let width = x

length = 2x

2(2x+x) = 120cm

6x = 120 cm

x = 20cm

Area = 20×40cm²

= 800cm²

Answer 2

Answer:

(d) 800cm²

Step-by-step explanation:

Given,

Perimeter of the rectangle = 120 cm

Ratio of length and width = 2 : 1

Let the width be x

Therefore the length is 2x

We know that,

Perimeter of a rectangle = 2(l+b)

=> 2 ( 2x + x)

=> 2 x 3x

So A/q,

2(2x + x) = 120cm

=> 3x = 120/2

=> x = 60/3

=> x = 20cm

Therefore the width = x = 20cm

and length = 2x = 2 x 20 = 40cm

We know that area of a rectangle =

=> length x Breadth

=> 20 x 40

=> 800cm²

I hope the answer helps you