Problem Analysis:
The task involves calculating the
area of rectangles for various scenarios. The formula to calculate the area of a rectangle is:
\[
\text{Area} = \text{Length} \times \text{Width}
\]
We will solve each problem step by step using this formula.
---
Problem 1:
Hugh orders a party banner for his son's birthday. The length and width of the banner are 72 inches and 25 inches, respectively. What is the area of the party banner?
#### Solution:
- Length (\( L \)) = 72 inches
- Width (\( W \)) = 25 inches
Using the formula for the area of a rectangle:
\[
\text{Area} = L \times W = 72 \times 25
\]
Perform the multiplication:
\[
72 \times 25 = 1800
\]
Thus, the area of the party banner is:
\[
\boxed{1800 \text{ square inches}}
\]
---
Problem 2:
Tim makes a decorative bookmark of size \( 2 \text{ in} \times 6 \text{ in} \) for his teacher. Find the area of the bookmark.
#### Solution:
- Length (\( L \)) = 2 inches
- Width (\( W \)) = 6 inches
Using the formula for the area of a rectangle:
\[
\text{Area} = L \times W = 2 \times 6
\]
Perform the multiplication:
\[
2 \times 6 = 12
\]
Thus, the area of the bookmark is:
\[
\boxed{12 \text{ square inches}}
\]
---
Problem 3:
Fran designed a flag that measured 9 inches in length and 5 inches in width. Find the area of the flag.
#### Solution:
- Length (\( L \)) = 9 inches
- Width (\( W \)) = 5 inches
Using the formula for the area of a rectangle:
\[
\text{Area} = L \times W = 9 \times 5
\]
Perform the multiplication:
\[
9 \times 5 = 45
\]
Thus, the area of the flag is:
\[
\boxed{45 \text{ square inches}}
\]
---
Problem 4:
Evan renovates his farmhouse foyer that is 15 feet long and 8 feet wide. Calculate the area of the foyer.
#### Solution:
- Length (\( L \)) = 15 feet
- Width (\( W \)) = 8 feet
Using the formula for the area of a rectangle:
\[
\text{Area} = L \times W = 15 \times 8
\]
Perform the multiplication:
\[
15 \times 8 = 120
\]
Thus, the area of the foyer is:
\[
\boxed{120 \text{ square feet}}
\]
---
Problem 5:
Rico bought a baseplate of 12 inches length and 10 inches width. Find the area of the baseplate.
#### Solution:
- Length (\( L \)) = 12 inches
- Width (\( W \)) = 10 inches
Using the formula for the area of a rectangle:
\[
\text{Area} = L \times W = 12 \times 10
\]
Perform the multiplication:
\[
12 \times 10 = 120
\]
Thus, the area of the baseplate is:
\[
\boxed{120 \text{ square inches}}
\]
---
Final Answers:
1. \(\boxed{1800 \text{ square inches}}\)
2. \(\boxed{12 \text{ square inches}}\)
3. \(\boxed{45 \text{ square inches}}\)
4. \(\boxed{120 \text{ square feet}}\)
5. \(\boxed{120 \text{ square inches}}\)
Parent Tip: Review the logic above to help your child master the concept of area problems worksheet.
