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Volgvan
3 years ago
14

A mouse has made holes in opposite corners of a rectangular kitchen. The width of the kitchen is 2 meters and the distance betwe

en the mouse's holes is 3 meters. What is the length of the kitchen? If necessary, round to the nearest tenth.
Mathematics
1 answer:
ANTONII [103]3 years ago
3 0

Answer:

The length of the kitchen is 2.23 meters.

Step-by-step explanation:

Given that a mouse has made holes in opposite corners of a rectangular kitchen, and the width of the kitchen is 2 meters and the distance between the mouse's holes is 3 meters, the following calculation must be performed to determine what is the length of the kitchen, using the Pythagorean theorem:

Width = 2 meters

Hypotenuse = 3 meters

2 ^ 2 + X ^ 2 = 3 ^ 3

4 + X ^ 2 = 9

X ^ 2 = 9 - 4

X = √ 5

X = 2.236

Therefore, the length of the kitchen is 2.23 meters.

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