Question

Maddie's bedroom is rectangular. The length of one wall of Maddie's bedroom is 4 meters. The length from one corner of the bedroom to the diagonally opposite corner is 5 meters. What is the length of the other wall?

Answer 1

The length of other wall is 3 meters.

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;

`a^2+b^2=c^2`

Here,

a = 4 and c = 5

`(4)^2+b^2=(5)^2\\16+b^2=25\\b^2=25-16\\b^2=9`

Taking square root on both sides

`√(b^2)=√(9)`

b = 3 meters

Hence,

The length of other wall is 3 meters.