Question

The perimeter of rectangular park is $84m$ Its length is $24m$ Find its area.

Answer 1

Let the breadth of park be $x$

Here, length$=24m$ and perimeter$=84m$

We know that,

Perimeter of rectangle $=2\times (length+breadth)$

Therefore,

Perimeter of the park $=2\times (x+24)$

$$\begin{gathered} \Rightarrow 84=2x+48 \\ \Rightarrow 84-48=2x \\ \Rightarrow 36=2x \\ \Rightarrow x=\frac{36}{2} \\ \Rightarrow x=18m \end{gathered}$$

Now, Area of rectangle is given by $=length\times breadth$

Therefore,

Area of park $=24\times 18$

$=324m^2$

Hence, area of rectangular park is $324m^2$