Question

A park is shaped like a rectangle with a length 10 times its width w. What is asimplified expression for the distance between opposite corners of the park?

Answer 1

Let´s draw the statement:

The distance between corners is named X in the drawing. As you can see it is a straight triangle which is easy to found using Pitagoras´ Theorem.

$\begin{gathered} c^2=a^2+b^2 \\ X^2=width^2+(10\cdot width)^2 \\ X^2=width^2+100\cdot width^2=101\cdot width^2 \\ X=\sqrt[]{101\cdot width^2} \\ X=\sqrt[]{101}\cdot width \end{gathered}$

Therefore, the distance between corners using the width of the park is X