The area of the floor the carpet needs to cover is 20 1/8 cm².
The floor has the shape of a rectangle. A rectangle is a 2-dimensional quadrilateral with four right angles.
Area of a rectangle = length x width
5 3/4 x 3 1/2
23/4 x 7/2 = 161/8 = 20 1/8 cm²
To learn more about how to calculate the area of a rectangle, please check: https://brainly.com/question/16595449