Question

The length and breadth of a rectangle are in the ratio 6 : 5 and its perimeter is 110 m. The area of the rectangle is ___ $m^2$

• A. 650
• B. 700
• C. 750
• D. 800

Answer 1

The correct option is C

750

Let the length and breadth of the rectangle be $6x$ and $5x$ respectively

Perimeter = $2(l+b)$

$2(6x+5x)=110$

$11x=55$

$x=5$

$\therefore$ length ($l$) = 6(5) = 30 m

breadth ($b$) = 5(5) = 25 m

Area of rectangle $=l\times b$

$=\left(30\right)\left(25\right)$

$=750m^2$