Question

Find the area and perimeter of a square plot of land whose diagonal is 24 m long.

Answer 1

Area of the square = \(\frac{1}{2}\times Diagonal^2\)

= \(\frac{1}{2}\times 24\times 24 \)

= 288 m²

Now, let the side of the square be x m.

Thus, we have:

Area = Side²

\(\Rightarrow\) 288 = x²

\(\Rightarrow\) x = \(12\sqrt{2}\)

\(\Rightarrow\) x = 16.92

Perimeter = 4 x Side

= 4 x 16.92

= 67.68m

Thus, the perimeter of thee square plot is 67.68m.