Question

The length of the rectangular field is thrice of its breadth. If the perimeter of this field is $800m$, what is the length of the field.

Answer 1

Step 1: Assign values to length and breadth

Let $x$ be the breadth of the rectangular field,

Then, the length of the rectangular field$=3xmeters$

Step 2: Find the length of the rectangular field.

We know that, the perimeter of the rectangular field $=2(l+b)$

$$\begin{gathered} \therefore 2(l+b)=800 \\ \Rightarrow 2\times 4x=800 \\ \Rightarrow 8x=800 \\ \Rightarrow x=\frac{800}{8} \\ \Rightarrow x=100m \end{gathered}$$

Length = $3x=3\times 100=300m$

Hence, the length of the rectangular field is equal to $300m.$