Question

Length of a rectangle is9/2 of its width. If perimeter of rectange is 242m. Find its length and width

Answer 1

length = 99 cm ; Width = 22 cm

Explanation:

To frame algebraic equation for the given situation and solving.

Let the width of the rectangle be 'x'.

Length is 9/2 of its width.

`\sf length = (9)/(2)*x =(9)/(2)x`

We know that the perimeter of rectangle = 2*length + 2*width

2* length + 2 * width = 242 m

`\sf 2*(9)/(2)x+2*x = 242\\`

9x + 2x = 242

11x = 242

Divide both sides by 11,

x = 242 ÷ 11

`\boxed{\bf x = 22 \ m}`

Width = 22 m

`\sf length = (9)/(2)*22\\`

= 9 * 11

= 99 cm

Answer: length = 99 cm

Width = 22 cm