Answer:
![\Huge\boxed{240ft^2}](https://img.qammunity.org/2022/formulas/mathematics/college/a6ogjeqcyix0aih791p0na0mylu8h5x5xj.png)
Explanation:
Hello There!
The figure shown is a trapezoid with the following dimensions
base 1 = 12ft
base 2 = 20 ft
height = 15 ft
Given these dimensions we need to find the area
We can do this by using the area of a trapezoid formula
![A=(a+b)/(2) h](https://img.qammunity.org/2022/formulas/mathematics/college/a1mxjobkvcuwo2bp2swnqalxwcfjt30mrl.png)
where a and b = bases and h = height
Knowing the dimensions all we have to do is plug in the values
![A=(12+20)/(2) 15\\12+20=32\\(32)/(2) =16\\16*15=240\\A=240ft^2](https://img.qammunity.org/2022/formulas/mathematics/college/vhreiu76oj38dfx0sej7h73n7l98c5di4r.png)
So we can conclude that the area of the floor that needs to be replaced with tile is 240 ft²