Question

Find the diagonal of a rectangle whose length is $35cm$ and breadth is $12cm$.

Answer 1

Compute the diagonal:

Assume $PQRS$ be a rectangle whose length is $PQ=35cm$ and breadth is $QR=12cm$.

In a rectangle, all the angles are taken as $90$ degrees.

The rectangle $PQRS$, $PR$ can be considered diagonal.

Using the formula of the Pythagoras theorem, we can write that

$$\begin{gathered} {\left(PQ\right)}^2+{\left(QR\right)}^2={\left(PR\right)}^2 \\ {\left(35\right)}^2+{\left(12\right)}^2={\left(PR\right)}^2 \\ 1225+144={\left(PR\right)}^2 \end{gathered}$$

That is

$$\begin{gathered} {\left(PR\right)}^2=1369 \\ PR=37 \end{gathered}$$

Hence, the diagonal of a rectangle whose length is $35cm$ and breadth is $12cm$ is $37cm$.