Question

The length and breadth of a rectangular park are $150m$ and $85m$ respectively. What is the ratio of the length to the breadth of the park?

Answer 1

Step 1: Find the ratio of the length to the breadth of the park

The ratio of two quantities $a$ and $b$ is written as $a:b$ where the units of the quantities should be the same.

The length of the rectangular park $=150m$

The breadth of the rectangular park $=85m$

So, the ratio of the length to the breadth of the park $=150:85$

Step 2: Simplify the ratio

To express a ratio in its simplest form, we find the highest common factor (H.C.F) of the terms of the ratio and then divide each term by the H.C.F.

Let's simplify $150:85$:

The H.C.F of $150$ and $85$ is $5$.

$\frac{150÷5}{85÷5}=\frac{30}{17}$

Hence, the ratio of the length to the breadth of the park is $30:17$.