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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.
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