Question

The perimeter of a rectangle is 514m.Its length is 7m less than three times its breadth.What are the length and breadth of the rectangle?​

Answer 1

Answer:

56m and 21m

Step-by-step explanation:

Let the breadth be x meter

according to first condition,

length is 7m less than 3 times its breadth

therefore, length = 3x - 7

Formula for perimeter = 2 ( l + b )

154 = 2 ( 3x - 7 + x )

154 = 6x - 14 + 2x..... opening the bracket.

154 = 6x + 2x - 14...... taking like terms

together

154 + 14 = 8x

168 = 8x

x = 168/8

x = 21

therefore, breadth = x

= 21m.

length = 3x - 7

= 3 × 21 - 7

= 63 - 7

= 56m

Ans - The length and breadth of rectangle is 56m and 21m respectively

Answer 2

Answer:

Lenght = 382m [191m of 1 side]

Breadth = 132m [66m of 1 side]

Step-by-step explanation:

1. Take the breadth as x

2. Take the lenght as 3x-7

Using Linear Equeations find the dimensions