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:
[tex]Length\ of\ diagonal\ of\ rectangle =[/tex][tex]\sqrt[2]{length^{2}+width^{2} }[/tex]
[tex]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[/tex]
Thus, length of rectangular storage unit is 6 meters.
