Question

the resort is getting ready for ski season. the tile flooring around the fireplace needs to be replaced. the area is a rectangle 15.25 feet long and 10.3 feet wide. the construction manager estimates he will need 160 square feet of tile flooring.

find the area of the rectangle to figure out how much flooring the construction manager will need.

the construction manager will need of tile flooring.

was the construction managers estimate reasonable?

Explanation:

Identify the given values and formula

We are given a rectangular area with:

• Length \(l = 15.25\text{ feet}\)
• Width \(w = 10.3\text{ feet}\)
• Estimated area = \(160\text{ square feet}\)

To find the actual area, we use the formula for the area of a rectangle:

$$A = l \times w$$

Calculate the exact area

Using the Decimal Multiplication knowledge point

$$
LATEXBLOCK0
$$

Evaluate the estimate

Using the Estimation and Rounding Decimals knowledge points

$$
LATEXBLOCK1
$$

Answer:

Question 1

The construction manager will need <blank>\(157.075\text{ square feet}\)</blank> of tile flooring.

Question 2

Was the construction manager's estimate reasonable?
<blank>Yes</blank>