Question

If the ratio of length and breadth of a rectangle is 5:4 and its perimeter is 180 m, then find length and breadth of the rectangle.

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

Answer 1

The correct option is C

length = 50 meters and breadth = 40 meters

Given, the ratio of length and breadth of a rectangle is 5:4 and perimeter = 180 m.

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

$\because$ Perimeter of a rectangle = 2$\times$(length + breadth)

$\therefore$ 2$\times$(5$x$+4$x$) = 180 m

$\Rightarrow$ 18$x$ = 180

$\Rightarrow$ $x$ = 10

$\therefore$ length = 5$x$

= 50 meters

and breadth = 4$x$

= 40 meters