By using the given diagram, we want to find the area of carpet needed to cover the floor. We will see that we need 188 ft^2 of carpet to cover the floor.
First, remember that for a rectangle of length L and width W, the area is given as:
[tex]A = W*L[/tex]
Now, if we look at the diagram we can see that the area of the carpet is equivalent to the area of a rectangle of 18ft by 14ft minus the area of two rectangles of 8ft by 4ft.
The area of the first rectangle is:
[tex]A = 18ft*14ft = 252 ft^2[/tex]
The area of each one of the smaller ones is:
[tex]A' = 8ft*4ft = 32 ft^2[/tex]
Then the area that we need for the carpet is:
[tex]A - 2*A' = 252 ft^2 - 2*32 ft^2 = 188 ft^2[/tex]
We need 188ft^2 of carpet to cover the floor.
If you want to learn more about rectangles, you can read:
https://brainly.com/question/9655204
