Solving Area Word Problems Worksheet - Free Printable

Let's solve each problem step by step.

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Problem 1:

Aunt Barbara needs to purchase a new carpet for her living room. The room is a rectangular shape with one wall measuring 18 feet and the other measuring 24 feet. What will the area of the carpet be?

#### Solution:
The area of a rectangle is calculated using the formula:
\[
\text{Area} = \text{length} \times \text{width}
\]
Here, the length is 24 feet and the width is 18 feet.

\[
\text{Area} = 24 \, \text{ft} \times 18 \, \text{ft} = 432 \, \text{square feet}
\]

#### Answer:
\[
\boxed{432}
\]

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Problem 2:

The carpet store sells carpet at $45.00 per yard. What is the total cost of the carpet Aunt Barbara will buy?

#### Solution:
First, we need to convert the area of the carpet from square feet to square yards because the price is given per yard. There are 9 square feet in 1 square yard (since \(3 \, \text{ft} \times 3 \, \text{ft} = 9 \, \text{sq ft}\)).

The area of the carpet is 432 square feet. To convert this to square yards:
\[
\text{Area in square yards} = \frac{\text{Area in square feet}}{9} = \frac{432}{9} = 48 \, \text{square yards}
\]

Next, we calculate the total cost. The carpet costs $45.00 per square yard, so:
\[
\text{Total cost} = \text{Area in square yards} \times \text{Price per square yard} = 48 \times 45 = 2160
\]

#### Answer:
\[
\boxed{2160}
\]

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Problem 3:

Aunt Barbara wants to wallpaper her bedroom. Each of the 4 walls measures 18.5 ft x 10 ft. What is the total wall area that will be covered?

#### Solution:
The area of one wall is calculated using the formula for the area of a rectangle:
\[
\text{Area of one wall} = \text{height} \times \text{width} = 18.5 \, \text{ft} \times 10 \, \text{ft} = 185 \, \text{square feet}
\]

Since there are 4 walls, the total wall area is:
\[
\text{Total wall area} = 4 \times \text{Area of one wall} = 4 \times 185 = 740 \, \text{square feet}
\]

#### Answer:
\[
\boxed{740}
\]

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Problem 4:

The wallpaper Aunt Barbara will need comes in rolls of 74 square feet. How many rolls will she need to cover her bedroom walls?

#### Solution:
The total wall area to be covered is 740 square feet. Each roll of wallpaper covers 74 square feet. To find the number of rolls needed, we divide the total wall area by the area covered by one roll:
\[
\text{Number of rolls} = \frac{\text{Total wall area}}{\text{Area per roll}} = \frac{740}{74} = 10
\]

Since the result is a whole number, Aunt Barbara will need exactly 10 rolls.

#### Answer:
\[
\boxed{10}
\]

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Problem 5:

Uncle Eddie used his new rider mower to cut the grass. His rectangular lawn measures 45 yards by 132 yards. What is the area of Uncle Eddie’s lawn?

#### Solution:
The area of a rectangle is calculated using the formula:
\[
\text{Area} = \text{length} \times \text{width}
\]
Here, the length is 132 yards and the width is 45 yards.

\[
\text{Area} = 132 \, \text{yd} \times 45 \, \text{yd} = 5940 \, \text{square yards}
\]

#### Answer:
\[
\boxed{5940}
\]

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Final Answers:

1. \(\boxed{432}\)
2. \(\boxed{2160}\)
3. \(\boxed{740}\)
4. \(\boxed{10}\)
5. \(\boxed{5940}\)