If the ratio of the length to the breadth of a rectangle be 5 : 3 and its perimeter is 144 m, find the length of the rectangle.

A rectangle is a four-sided polygon whose perimeter is the sum of all its sides.

Answer: The length of the rectangle is 45 m.

Let's solve step by step to find the length of the rectangle.

Explanation:

Let 'l' be the length and 'b' be the breadth.

Given that, the ratio of its length and breadth is 5 : 3.

Therefore, we take length as 5x and breadth as 3x.

Perimeter of rectangle = 2 ( l + b )

⇒ 144 = 2 ( 5x + 3x )

⇒ 8x = 72

⇒ x = 72 / 8

⇒ x = 9

So, the length of rectangle is 5 x = 5 × 9 m = 45 m 

Also, the breadth of rectangle is 3 x = 3 × 9 m = 27 m

Thus, the length of the rectangle is 45 m.