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Answer:
The length of other wall is 3 meters.
Step-by-step explanation:
Given that:
Length of one wall = 4 meters
Length of diagonal from one corner to opposite corner = 5 meters
As the room is rectangular, the diagonal will form a right angled triangle.
The diagonal will be the hypotenuse.
Using pythagorean theorem;
[tex]a^2+b^2=c^2[/tex]
Here,
a = 4 and c = 5
[tex](4)^2+b^2=(5)^2\\16+b^2=25\\b^2=25-16\\b^2=9[/tex]
Taking square root on both sides
[tex]\sqrt{b^2}=\sqrt{9}[/tex]
b = 3 meters
Hence,
The length of other wall is 3 meters.