Question

A square tile has a diagonal of size $32cm.$ the area of the tile is

Answer 1

Given that, a tile is in the shape of a square.

The diagonal of a square tile is $32cm$.

The area of a square when diagonal is given $=$$\frac{1}{2}\times d^{2}squareunits.$

Now, substitute $d=32$ in the formula, we get

Area $=\frac{1}{2}\times {32}^2$

$$\begin{gathered} =\frac{1}{2}\times 32\times 32 \\ =16\times 32 \\ =512 \end{gathered}$$

Therefore, the area of a square tile is $512c{m}^2.$