Find the area and perimeter of a square plot of land whose diagonal is

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

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

Answer»

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.