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Zarrin [17]
3 years ago
15

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

site corner. How long is the storage unit?
Mathematics
1 answer:
docker41 [41]3 years ago
8 0

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:

<u>As we know:</u>

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.

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