Question

The perimeter of a rectangular plot of land is 75 m and its breadth is 16 m. Find the length and area of the plot.

Answer 1

Perimeter of the rectangular plot of land = 75 m
We know:
Perimeter of the rectangular plot of land = $2\left(l+b\right)$
Here,
b = 16 m
Thus, we have:
$$\begin{gathered} 75=2\left(l+16\right) \\ \Rightarrow 75=2l+32 \\ \Rightarrow 75-32=2l \\ \Rightarrow 43=2l \\ \Rightarrow 21.5=l \\ \Rightarrow l=21.5\mathrm{m} \end{gathered}$$

Area of the rectangular plot $=$ $l\times b$
$$\begin{gathered} =21.5\times 16 \\ =344{\mathrm{m}}^2 \end{gathered}$$
Length of the plot$=21.5\mathrm{m}$