Let's denote the length of one side of Kamila's square bedroom as x. Since the bedroom is square, both its length and width are x. Therefore, the area of the bedroom is x^2.

The living room is rectangular, with a length of 18 feet and a width of 1.25x. Therefore, the area of the living room is 18 * 1.25x = 22.5x.

According to the problem, the area of the living room is 2.5 times the area of the bedroom. Therefore, we can set up the following equation:

22.5x = 2.5 * x^2

To solve for x, we can divide both sides of the equation by 2.5:

9x = x^2

Rearranging the equation gives:

x^2 - 9x = 0

Factoring the equation gives:

x(x - 9) = 0

Setting each factor equal to zero gives the possible solutions for x:

x = 0 or x = 9

Since the length of a side of a room cannot be zero, the length of one side of Kamila's bedroom is 9 feet.

Here is a diagram representing Kamila's living room and her square bedroom:

[Bedroom: x by x] [Living Room: 18 by 1.25x]

Please note that this is a text-based platform and I am unable to upload images. However, you can easily draw these rectangles based on the dimensions provided.

Question

Let's denote the length of one side of Kamila's square bedroom as x. Since the bedroom is square, both its length and width are x. Therefore, the area of the bedroom is x^2.

The living room is rectangular, with a length of 18 feet and a width of 1.25x. Therefore, the area of the living room is 18 * 1.25x = 22.5x.

According to the problem, the area of the living room is 2.5 times the area of the bedroom. Therefore, we can set up the following equation:

22.5x = 2.5 * x^2

To solve for x, we can divide both sides of the equation by 2.5:

9x = x^2

Rearranging the equation gives:

x^2 - 9x = 0

Factoring the equation gives:

x(x - 9) = 0

Setting each factor equal to zero gives the possible solutions for x:

x = 0 or x = 9

Since the length of a side of a room cannot be zero, the length of one side of Kamila's bedroom is 9 feet.

Here is a diagram representing Kamila's living room and her square bedroom:

[Bedroom: x by x] [Living Room: 18 by 1.25x]

Please note that this is a text-based platform and I am unable to upload images. However, you can easily draw these rectangles based on the dimensions provided.

Knowee AI · Accepted Answer