Question

The area of a room is $\frac{21}{4}{m}^2$. If its breadth is $\frac{42}{3}$ m, what is its length?

• A. $\frac{3}{8}m$
• B. $\frac{8}{3}m$
• C. $\frac{294}{4}m$
• D. $\frac{4}{294}m$

Answer 1

The correct option is A $\frac{3}{8}m$

Area of the room $=$ Length $\times$ Breadth
$\frac{21}{4}{m}^2=\text{length}\times \frac{42}{3}m$

Shift $\frac{42}{3}m$ to the left -hand side. It will be changed to $\frac{3}{42}\frac{1}{m}$.

Length $=\frac{21}{4}{m}^2\times \frac{3}{42}\frac{1}{m}=\frac{21}{4}\times \frac{3}{42}\frac{m^2}{m}=\frac{21}{4}\times \frac{3}{2\times 21}m=\frac{1\times 3}{4\times 2}m=\frac{3}{4\times 2}m=\frac{3}{8}m$