Question

A rectangle garden of length $22m$ and breadth $18m$ has six identical flower beds. What is the area of each flower bed?

• A. $32sq.m$
• B. $36sq.m$
• C. $40sq.m$
• D. $26sq.m$

Answer 1

The correct option is B $36sq.m$

The length of the rectangular garden $\left(l\right)=22m$

The breadth of the rectangular garden $\left(b\right)=18m$

From the figure, breadth of rectangular garden $=2\times$ Length of the flower bed (Since flower beds are identical)

$\Rightarrow 18=2l$

$\Rightarrow l=9m$

Hence Length of flower bed $\left(L\right)=8m$

Also from the figure, Length of rectangular garden $=2\times$ length of flower bed $+$ breadth of the flower bed

$\Rightarrow 22=2L+B$

$\Rightarrow 22=18+B$

$\Rightarrow B=4m$

Hence breadth of flower bed $\left(B\right)=4m$

$\therefore$ Area of each flower bed $=LB=9\times 4=36m^2$

So, $\text{B}$ is the correct option.