Question

If the ratio of the breadth and length of a rectangle is 4:5 and its area is 500 m${}^2$ then find length and breadth of the rectangle.

• A. length = 25 meters and breadth = 20 meters
• B. length = 20 meters and breadth = 25 meters
• C. length = 50 meters and breadth = 40 meters
• D. length = 40 meters and breadth = 50 meters

Answer 1

The correct option is A

length = 25 meters and breadth = 20 meters

Given, the ratio of the breadth and length of a rectangle is 4:5 and area = 500 m${}^2$.

$\therefore$ Let the breadth be 4x meters and length be 5x meters.

$\because$ Area of a rectangle = $\text{length}\times \text{breadth}$

$\therefore 5x\times 4x=500m^2$

$\Rightarrow 20x^2=500$

$\Rightarrow x^2=25$

$\Rightarrow x=5$

$\therefore length=5x$

= 25 meters

and breadth = 4x

= 20 meters