Question

What is the measure of the diagonal of the square to the nearest tenth of a millimetre

Answer 1

84.9mm (option D)

Step-by-step explanation:

For a square, all sides are equal

The formula for the diagonal:

`Diagonal^(2)=Length^(2)+width^(2)`

Since the sides are equal, the length a

nd the width will be the same

length = 60mm

width = 60mm

`\begin{gathered} \text{diagonal}^2=60^2+60^2 \\ \text{diagonal}^2=\text{ 3600 + 3600} \\ \text{diagonal}^2=\text{ 7200} \end{gathered}`
`\begin{gathered} \text{square root both sides} \\ \sqrt[]{\text{diagonal}^2}\text{ = }\sqrt[]{7200} \\ \text{diagonal = }84.85 \end{gathered}`

To the nearest tenth, the measure of the diagonal of the square is 84.9mm (option D)