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

What is the measure of the diagonal of the square to the nearest tenth of a millimetre-example-1

1 Answer

6 votes

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)

User Kingsley Simon
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