Question

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

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

Answer 1

The correct option is D

length = 25 meters and breadth = 20 meters

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

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

$\because$ Area of a rectangle = length $\times$ breadth

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

$\Rightarrow$ 20$x^2$ = 500

$\Rightarrow$ $x^2$ = 25

$\Rightarrow$ $x$ = 5 m

$\therefore$ length = 5$x$

= 25 meters

and breadth = 4$x$

= 20 meters