Let's solve each problem step by step.
---
Problem 4:
Betty's bedroom is 16 ft. long and 15 ft. wide. She wants to install hardwood flooring. The cost is \$6.00 per square foot. How much is the total cost for the room flooring?
####
Solution:
1.
Calculate the area of the bedroom:
\[
\text{Area} = \text{Length} \times \text{Width} = 16 \, \text{ft} \times 15 \, \text{ft} = 240 \, \text{square feet}
\]
2.
Calculate the total cost:
\[
\text{Total Cost} = \text{Area} \times \text{Cost per Square Foot} = 240 \, \text{square feet} \times 6 \, \text{\$/square foot} = 1440 \, \text{\$}
\]
####
Answer:
\[
\boxed{1440}
\]
---
Problem 5:
Betty wants to install base molding in the room. The cost is \$3.00 per foot. How much will it cost her?
####
Solution:
1.
Calculate the perimeter of the bedroom:
\[
\text{Perimeter} = 2 \times (\text{Length} + \text{Width}) = 2 \times (16 \, \text{ft} + 15 \, \text{ft}) = 2 \times 31 \, \text{ft} = 62 \, \text{ft}
\]
2.
Calculate the total cost for the base molding:
\[
\text{Total Cost} = \text{Perimeter} \times \text{Cost per Foot} = 62 \, \text{ft} \times 3 \, \text{\$/foot} = 186 \, \text{\$}
\]
####
Answer:
\[
\boxed{186}
\]
---
Problem 6:
Rosy had a farm with a perimeter of 84 meters. The length of the farm is 12 meters. Find the area of the farm.
####
Solution:
1.
Recall the formula for the perimeter of a rectangle:
\[
\text{Perimeter} = 2 \times (\text{Length} + \text{Width})
\]
2.
Substitute the given values into the formula:
\[
84 = 2 \times (12 + \text{Width})
\]
3.
Solve for the width:
\[
84 = 2 \times (12 + \text{Width})
\]
\[
84 = 24 + 2 \times \text{Width}
\]
\[
84 - 24 = 2 \times \text{Width}
\]
\[
60 = 2 \times \text{Width}
\]
\[
\text{Width} = \frac{60}{2} = 30 \, \text{meters}
\]
4.
Calculate the area of the farm:
\[
\text{Area} = \text{Length} \times \text{Width} = 12 \, \text{m} \times 30 \, \text{m} = 360 \, \text{square meters}
\]
####
Answer:
\[
\boxed{360}
\]
---
Problem 7:
Tina and Tony are working on a banner for their school exhibition. The banner is 12 ft by 9 ft. The cloth costs \$3.00 per square foot. Find the total cost of the banner.
####
Solution:
1.
Calculate the area of the banner:
\[
\text{Area} = \text{Length} \times \text{Width} = 12 \, \text{ft} \times 9 \, \text{ft} = 108 \, \text{square feet}
\]
2.
Calculate the total cost:
\[
\text{Total Cost} = \text{Area} \times \text{Cost per Square Foot} = 108 \, \text{square feet} \times 3 \, \text{\$/square foot} = 324 \, \text{\$}
\]
####
Answer:
\[
\boxed{324}
\]
---
Final Answers:
1. Problem 4: \(\boxed{1440}\)
2. Problem 5: \(\boxed{186}\)
3. Problem 6: \(\boxed{360}\)
4. Problem 7: \(\boxed{324}\)
Parent Tip: Review the logic above to help your child master the concept of perimeter and area word problems worksheet.