Question

the length and width of a rectangle are in the ratio 5:3 .Find the dimenisions of the rectangle, if its perimeter is 122 cm .​

Answer 1

Answer:

The Length is 35 cm and Breadth is 15 cm.

Step-by-step explanation:

Given :

Ratio of Length to Breadth = 5 : 3

Perimeter of the rectangle = 112 cm

To find :

The dimensions of the rectangle

Solution :

Let the -

Length be 5y

Bredth be 3y

★ Perimeter = 2(Length + Breadth)

⇒ 112 = 2(5y + 3y)

⇒ 112 = 10y + 6y

⇒ 112 = 16y

⇒ y = 112/16

⇒ y = 7

$$\rule{300}{1.5}$$

★ Value of 5(y)

⇒ 5(7)

⇒ 35

Length = 35 cm

$$\rule{300}{1.5}$$

★ Value of 3y

⇒ 3(5)

⇒ 15

Breadth = 15 cm

$$\therefore$$ The Length is 35 cm and Breadth is 15 cm.