Question

A rectangular garden has a length of 20 yards and a width of 42 yards. A diagonal path runs from one end of the garden to the other. How long is the diagonal path?

Answer 1

Step-by-step explanation:

The diagonal separates the rectangle into 2 triangles. Therefore to calculate the length of the diagonal we can use the Pythagorean theorem.

Let the diagonal equal x

Therefore:

${x}^{2} = {l}^{2} + {b}^{2}$

${x}^{2} = {20}^{2} + {42}^{2}$

${x}^{2} = 400 + 1764$

${x}^{2} = 2164$

$x = \sqrt{2164}$

$x = 2 \sqrt{541} \: or \: 46.52$