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.
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.