Question

Frank measured the floor of his storage unit, which is rectangular. It is 8 meter wide and 10 meters from one corner to the opposite corner. How long is the storage unit?

Answer 1

6 meters.

Explanation:

Given:

Width of rectangular storage unit = 8 meters

Length from one corner to the opposite corner that means diagonal = 10 meters

Length of storage unit = ?

Solution:

As we know:

`Length\ of\ diagonal\ of\ rectangle =`
`\sqrt[2]{length^(2)+width^(2) }`

`10=\sqrt[2]{length^(2)+8^(2) } \\10=\sqrt[2]{length^(2)+64 } \\\\Squaring \ both\ sides\\\\ 10^(2) =length^(2)+64\\100=length^(2)+64\\\\ Subtracting\ both\ sides\ by\ 64\\length^(2)=36\\Taking\ root\ both\ sides\\\\ \sqrt[2]{length^(2) } =\sqrt[2]{36} \\\\ length=\sqrt[2]{6*6}\\ \\ length=6`

Thus, length of rectangular storage unit is 6 meters.