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

Answer:

6 meters.

Step-by-step 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} }$

$10=\sqrt[2]{length^{2}+8^{2} } \\10=\sqrt[2]{length^{2}+64 } \\\\Squaring \ both\ sides\\\\ 10^{2} =length^{2}+64\\100=length^{2}+64\\\\ Subtracting\ both\ sides\ by\ 64\\length^{2}=36\\Taking\ root\ both\ sides\\\\ \sqrt[2]{length^{2} } =\sqrt[2]{36} \\\\ length=\sqrt[2]{6\times6}\\ \\ length=6$

Thus, length of rectangular storage unit is 6 meters.