Question

The area of the floor of a room is $20$ sq.m, that of the longer wall is $15m^2$ and the shorter wall $12m^2$. What are the dimensions of the room?

Answer 1

According to the equation
$l\times b=20m^2$
$b\times h=12m^2$
$l\times h=15m^2$
Multiplying together
$l^2{b}^2{h}^2=20\times 12\times 15$
$=3600$
$\therefore$ $lbh=60$
$\therefore$ $h=\frac{60}{20}=3$
$b=\frac{60}{15}=4$
$l=\frac{60}{12}=5$