Question

The sides of a rectangle are in the ratio of 3:5 .find the sides if the perimeter of the rectangle is 80 cm.​

Answer 1

Given:

• Ratio of the sides of a rectangle is 3 : 5.
• Perimeter of the rectangle is 80cm.

To find:

• Side of the rectangle ?

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Solution:

Let the three sides of the triangle be 3x and 5x.

As we know that,

⋆ Perimeter of rectangle = 2(Length + Breadth)

Here,

• Perimeter = 80 cm
• Length = 3x
• Breadth = 5x

Putting the values,

➜ 2(3x+ 5x) = 80

➜ 2 × 8x = 80

➜ 16x = 80

➜ x = 80/16

➜ x = 5cm

Therefore,

• Length of the rectangle = 3x = 3 × 5= 15cm
• Breadth of the rectangle = 5x = 5 × 5 = 25cm

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Answer 2

Given :

• Ratio of the sides of the rectangle = 3:5
• Perimeter of the rectangle = 80 cm

To find :

• The sides of the rectangle

Solution :

★ Let:-

• The length = 3x
• The breadth = 5x

★ We know:-

• Perimeter = 2(length + breadth)

→ 80 = 2(3x + 5x)

→ 80 = 6x + 10x

→ 80 = 16x

→ 80/16 = x

→ 5 = x

→ x = 5

•°• The length = 15 cm

•°• The breadth = 25 cm

Answer :

• The sides of the rectangle are 15 cm and 25 cm