Using the areas of the rectangle and of the square, it is found that 24 unit squares will be used to tile the rectangle.
What is the area of a square?
The area of a square of side l is given by the square of l, that is:
A(l) = l².
In this problem, we have that [tex]l = \frac{1}{10}[/tex], hence the area is given by:
[tex]A = \left(\frac{1}{10}\right)^2 = \frac{1}{100} = 0.01[/tex]
What is the area of a rectangle?
The area of a rectangle of length l and width w is given by the multiplication of the measures, that is:
A = lw.
In this problem, we have that the measures are:
[tex]l = \frac{3}{10}, w = \frac{4}{5}[/tex]
Hence:
[tex]A = lw = \frac{3}{10} \times \frac{4}{5} = \frac{12}{50} = \frac{24}{100} = 0.24[/tex]
The area of the rectangle is 24 times the area of the square, hence 24 unit squares will be used to tile the rectangle.
More can be learned about areas at https://brainly.com/question/10489198
