Question

A rectangular football pitch is 100 m long and 70 m wide.
What is the length of a diagonal of the football pitch?
Explain how you worked out your answer.
Show all your working,​

Answer 1

Given,

The length of the football ground$\[ = 100\,{\rm{m}}\]$

The breadth of the football ground$\[ = 70\,{\rm{m}}\]$

To find,

The diagonal length of the ground.

Solution,

Know that in a rectangle all the angles are $\[90^\circ .\]$

Refer to figure.

Apply Pythagoras theorem in triangle DBC,

$\[\begin{array}{l} \Rightarrow \sqrt {{{\left( {100} \right)}^2} + {{\left( {70} \right)}^2}} \\ \Rightarrow \sqrt {10000 + 4900} \\ \Rightarrow \sqrt {14900} \\ \Rightarrow 122.06\end{array}\]$

Hence, the diagonal length of the ground is $\[122.06\]$ m.