Question

The perimeter of a rectangular field is 360 m and its breadth is 75 m. Find its length.

Answer 1

Let the length of the rectangle be x m.
Breadth of the rectangle = 75 m
Perimeter of the rectangle = 2(Length + Breadth)
= 2(x + 75) m = (2x + 150) m
It is given that the perimeter of the field is 360 m.
$$\begin{gathered} \Rightarrow 2x+150=360 \\ \Rightarrow 2x=360-150 \\ \Rightarrow 2x=210 \\ \Rightarrow x=\frac{210}{2}=105 \end{gathered}$$
So, the length of the rectangle is 105 m.