The Diagonal of a Rectangle
A hockey pitch (assumed as a rectangle) measures 55 m by 90 m. It's required to calculate the length of its diagonal.
Given a rectangle of dimensions a by b, the length of the diagonal d can be calculated as follows:
![d=\sqrt[]{a^2+b^2}](https://img.qammunity.org/2023/formulas/mathematics/college/fny239akkenz2r2eekuhbsx8hiv5x5k3ky.png)
Substituting the values a = 55 m, b = 90 m, we have:
![d=\sqrt[]{(55m)^2+(90m)^2}](https://img.qammunity.org/2023/formulas/mathematics/college/3bkzgvum7di86ls9tlbk5dom6wwf8ibkpk.png)
Calculating:
![\begin{gathered} d=\sqrt[]{3025m^2+8100m^2} \\ d=\sqrt[]{11125m^2} \\ d=105.5m \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/iog7verhp7p5oijmjaqt4motsspukrkq35.png)
The length of the diagonal is 105.5 meters rounded to the nearest tenth (not specified in the question).