Question

Breadth and length of a rectangle is in the ratio 7:11. Length is 20 cm

more than breadth. Find the breadth and length.

Answer 1

❥ Question -:

Breadth and length of a rectangle is in the ratio 7:11. Length is 20 cm more than breadth. Find the breadth and length.

❥ Explanation -:

In this question we are provided with the ratio of length and breadth 7 : 11 and it is also given that the length of the rectangle is 20 cm more than the breadth and we are asked to find out the length and breadth

Let us assume length as 11x and breadth as 7x.

`\small\underline{\frak{ Length \: is \: 20 \: cm \: more \: than \: breadth}}`

Length = Breadth +20

According To Question

`\small\bf{ 11x = 7x + 20}`

`\small\rm{11x - 7x = 20}`

`\small\rm{4x = 20}`

`\small\rm{ x = \cancel(20)/(4) = 5 }`

`\small\boxed{\rm{x = 5 cm}}`

Length = 11x = 11 × 5 = 55 cm

Breadth = 7x = 7 × 5 = 35 cm

Answer 2

Breadth = 35 cm

Length = 55 cm

Explanation:

Breadth : length = 7 : 11

Breadth = 7x

Length = 11x

Length is 20 cm more than breadth.

Length = breadth + 20

11x = 7x + 20

11x - 7x = 20

4x = 20

x = 20/4

x = 5

Breadth = 7x = 7*5 = 35 cm

Length = 11x = 11 * 5 = 55 cm