Question

Select all the expressions that represent the total area of the rectangle 1/5 c 15 1/5?

1) 1/5 * 15 1/5
2) 1/5 * (15 1/5)
3) (1/5 * 15) 1/5
4) (1/5 * 15) + 1/5

Answer 1

Only Option 2) 1/5 * (15 1/5) correctly represents the total area of the rectangle by following the correct mathematical order of operations for the given dimensions.

Step-by-step explanation:

To determine the expressions that represent the total area of the rectangle, we need to use the correct formula for calculating area, which is the product of its length and width. Here, we are given that the dimensions of the rectangle are 1/5 and 15 1/5. It is important to use the correct order of operations, which includes performing operations inside parentheses first and then multiplication.

Now, let's evaluate the given options:

1. 1/5 * 15 1/5: This expression does not have clear parentheses to indicate the proper order of operations.
2. 1/5 * (15 1/5): This correctly computes the area by multiplying 1/5 by the entire length 15 1/5.
3. (1/5 * 15) 1/5: This expression does not correctly represent the area because the second 1/5 is not being multiplied by the first term.
4. (1/5 * 15) + 1/5: Again, this does not correctly calculate the area because it simply adds 1/5 to the product of 1/5 and 15, rather than multiplying by the entire length 15 1/5.

It is clear that Option 2) 1/5 * (15 1/5) correctly represents the total area of the rectangle when using the provided dimensions.