The length and breadth of a rectangle are in the ratio 5:3. If the perimeter is 80 cm, find the length and breadth of rectangle.

Given :

The ratio of length and breadth of the rectangle $=5 : 3$.

Perimeter of the rectangle $= 80 cm$.

To find :

We have to find the length and breadth of the rectangle.

Solution :

Let the length of the rectangle be 5x.

Breadth of the rectangle be 3x.

$$Perimeter of the rectangle = 2 (length + breadth)$$

$80 = 2 (5x + 3x)$

$80 = 2 (8x)$

$80 = 16 x$

Rewrite, 

$16 x = 80$

$x = \frac{80}{16}$

$x = 5$

$Length = 5 x = 5 (5) = 25$

$Breadth = 3 x = 3 (5) = 15 $

Length of the rectangle is 25 cm and breadth of the rectangle is 15 cm.