Question

Find the length of the diagonal of a rectangle whose sides are $6cm$ and $4cm$.

Answer 1

Calculate the length of diagonal using Pythagoras theorem.

As we know, length of diagonal of a rectangle $=\sqrt{l^2+b^2}$.

where $l$ is length and $b$ is breadth of rectangle.

The length and breadth of the rectangle are $6cm$ and $4cm$ respectively.

Substituting the given dimensions of length and breadth in the above expression.

Length of diagonal is,

$$\begin{gathered} =\sqrt{6^2+4^2} \\ =\sqrt{36+16} \\ =\sqrt{52}cm \end{gathered}$$

Hence, the length of the diagonal is $\sqrt{52}cm$.