Question

The length of a rectangular plot is 50 ¹/₂ m and the width of the plot is 20m less than the length. Find the area of the plot.

Answer 1

Answer :

Length of rectangular plot = $50\frac{1}{2}=\frac{100+\hspace{0.17em}1}{2}=\frac{\mathbf{101}}{\mathbf{2}}\mathbf{}\mathit{m}$
And

The width of the plot is 20 m less than the length. So

Width of plot = $\frac{101}{2}-20=\frac{101-40}{2}=\frac{\mathbf{61}}{\mathbf{2}}\mathbf{}\mathbf{}\mathit{m}$

And we know

Area of rectangular plot = Length $\times$ Width

Then

Area of rectangular plot = $\frac{101}{2}\times \frac{61}{2}=\frac{6161}{4}=\mathbf{1540}\mathbf{.}\mathbf{25}\mathbf{}{\mathit{m}}^{\mathbf{2}}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{(}\mathbf{}\mathit{A}\mathit{n}\mathit{s}\mathbf{}\mathbf{)}$