Question

The ratio of the length and the width of a school ground is $5:2$. Find the length, if the width is 40 meters.​

Answer 1

Given,

The ratio of the length and the width of a school ground $=5:2$ and Width $40$ $\text{meters}$.

Let the length be $x$ $\text{meters}$.

Then, the ratio of the length to the width $=x:40$
According to the given statement,

$x:40=5:2$

$\Rightarrow$ $x\times 2=5\times 40$

($\because$ $\text{Product of extremes = Product of means}$)

$x=\frac{5\times 40}{2}=\frac{5\times 20\times 2}{2}$

$\therefore$ $x=\frac{200}{2}=100\text{m}$

Hence, the length of the school ground will be $100\text{m}$.