Question

The ratio of length and breadth is 5:4.if its perimeter is 270, find the dimension of the field

Answer 1

Answer:

Length of the rectangle (l) = 75 units

And

Breadth of the rectangle (b) = 60 units

Step-by-step explanation:

Let the length and breadth of the rectangle be l and b respectively.

Let the length of rectangle be 5x

And

Breadth of the rectangle be 4x

Given

Perimeter of the rectangle = 270 units

According to the question

Perimeter of the rectangle = 270 units

2 ( l + b ) = 270 units

2 ( 5x + 4x ) = 270 units

2 × 9x = 270 units

18x = 270 units

x = 270/18 units

x = 15 units

5x = 5 × 15 units = 75 units

4x = 4 × 15 units = 70 units

Length of rectangle = 5x = 75 units

And

Breadth of rectangle = 4x = 60 units

Hence,

Length of rectangle (l) = 5x = 75 units And

Breadth of rectangle (b) = 4x = 60 units

Answer 2

Answer:

Length of the rectangle (l) = 75 units

And

Breadth of the rectangle (b) = 60 units

Step-by-step explanation:

Let the length and breadth of the rectangle be l and b respectively.

Let the length of rectangle be 5x

And

Breadth of the rectangle be 4x

Given

Perimeter of the rectangle = 270 units

According to the question

Perimeter of the rectangle = 270 units

2 ( l + b ) = 270 units

2 ( 5x + 4x ) = 270 units

2 × 9x = 270 units

18x = 270 units

x = 270/18 units

x = 15 units

5x = 5 × 15 units = 75 units

4x = 4 × 15 units = 60 units

Length of rectangle = 5x = 75 units

And

Breadth of rectangle = 4x = 60 units

Hence,

Length of rectangle (l) = 5x = 75 units And

Breadth of rectangle (b) = 4x = 60 units