Question

Rhys will tile the rectangle below to find it’s area. Q: How many unit squares with side length 1/10 foot will Rhys use to tile the rectangle? The sides of the rectangle: 3/10 foot and 4/5 foot. Answers: 24 unit squares, 18 unit squares, 12 unit squares, and 7 unit squares.

Answer 1

The number of unit squares with a side length  of 1/10 foot that Rhys uses to tile the rectangle is 24 units

How to calculate the area of plane shapes?

A square is a plane shape with 4 sides

The formula for calculating the area of the square is expressed as:

A = l^2

Given

side length of a square = 1/10 foot

A = (1/10)² = 1/100 = 0.01 square foot

Determine the area of the rectangle

Area = length * width

Area = 3/10 * 4/5
Area = 12/50 = 6/25
Area = 0.24 square foot

Take the ratio of both areas

Ratio = 0.24/0.01

Ratio = 24 units

Hence the number of unit squares with a side length  of 1/10 foot that Rhys uses to tile the rectangle is 24 units

Learn more on area of plane shapes here: brainly.com/question/2644832

Answer 2

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 $l = \frac{1}{10}$, hence the area is given by:

$A = \left(\frac{1}{10}\right)^2 = \frac{1}{100} = 0.01$

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:

$l = \frac{3}{10}, w = \frac{4}{5}$

Hence:

$A = lw = \frac{3}{10} \times \frac{4}{5} = \frac{12}{50} = \frac{24}{100} = 0.24$

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 brainly.com/question/10489198