Question

The sides of a rectangular field are in the ratio 9:7 and the perimeter is 144 metres. Find the sides. ​

Answer 1

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Answer 2

Question:

The sides of a rectangular field are in the ratio 9:7 and the perimeter is 144 metres. Find the sides. ​

Answer:

• The length of the rectangle is 40.5 m.
• The breadth of the rectangle is 31.5 m.

Given:

The sides of a rectangular field are in the ratio 9:7.

The perimeter is 144 metres.

To find:

The sides of the rectangle.

Explanation:

The sides of a rectangular field are in the ratio 9:7.

Let, the common multiple of the ratio be, 'n'

So, the sides are_

(9×n)

= 9n

(7×n)

= 7n

∴ Perimeter of the rectangle is_

2(Length + Breadth)

= 2×(9n+7n)

= 2×16n

= 32n

According to the problem:

32n = 144

⇒ n = (144 ÷ 32)

⇒ n = 4.5 m.

∴ The sides of the rectangle are_

Length = (4.5×9) m

           = 40.5 m.

Breadth = (4.5 × 7) m

             = 31.5 m.

∴ The sides of the rectangle are 40.5 m and 31.5 m.