Let's solve each problem step by step, determining whether we need to calculate the
area or the
perimeter, and showing all work.
---
Problem 1:
Dr. Delilah owns Fluffy Friends Medical Center. She wants to fence an outdoor space for dogs to play. If the space is 20 feet long and 20 feet wide, how much fencing is needed?
####
Solution:
- The question asks for the amount of fencing needed, which means we need to calculate the
perimeter of the rectangular space.
- The formula for the perimeter of a rectangle is:
\[
P = 2 \times (\text{length} + \text{width})
\]
- Here, the length is 20 feet and the width is 20 feet.
- Substituting the values:
\[
P = 2 \times (20 + 20) = 2 \times 40 = 80 \text{ feet}
\]
####
Answer:
\[
\boxed{80 \text{ feet}}
\]
---
Problem 2:
Old MacDonald has a square-shaped farm. A side is 208 feet long. If MacDonald walks around the edge of his property, how many feet will he walk?
####
Solution:
- The question asks how many feet MacDonald will walk around the edge of his property, which means we need to calculate the
perimeter of the square.
- The formula for the perimeter of a square is:
\[
P = 4 \times \text{side length}
\]
- Here, the side length is 208 feet.
- Substituting the value:
\[
P = 4 \times 208 = 832 \text{ feet}
\]
####
Answer:
\[
\boxed{832 \text{ feet}}
\]
---
Problem 3:
George’s bedroom measures 12 feet square. Jerry’s bedroom is 11 feet long and 13 feet wide. Who has more floor space?
####
Solution:
- The question asks about floor space, which means we need to calculate the
area of each bedroom.
- For George’s bedroom:
- Since it is a square with a side length of 12 feet, the area is:
\[
\text{Area} = \text{side}^2 = 12 \times 12 = 144 \text{ square feet}
\]
- For Jerry’s bedroom:
- It is a rectangle with a length of 11 feet and a width of 13 feet, so the area is:
\[
\text{Area} = \text{length} \times \text{width} = 11 \times 13 = 143 \text{ square feet}
\]
- Comparing the areas:
- George’s bedroom: 144 square feet
- Jerry’s bedroom: 143 square feet
- Therefore, George has more floor space.
####
Answer:
\[
\boxed{\text{George}}
\]
---
Problem 4:
The playground at Watson Elementary is a perfect rectangle. If it is 100 yards long and 75 yards wide, then what is the distance around?
####
Solution:
- The question asks for the distance around the playground, which means we need to calculate the
perimeter of the rectangle.
- The formula for the perimeter of a rectangle is:
\[
P = 2 \times (\text{length} + \text{width})
\]
- Here, the length is 100 yards and the width is 75 yards.
- Substituting the values:
\[
P = 2 \times (100 + 75) = 2 \times 175 = 350 \text{ yards}
\]
####
Answer:
\[
\boxed{350 \text{ yards}}
\]
---
Problem 5:
Mr. Rabbit is planting a square-shaped carrot garden. If it is eight feet long on each side, how many square feet will it cover?
####
Solution:
- The question asks how many square feet the garden will cover, which means we need to calculate the
area of the square.
- The formula for the area of a square is:
\[
\text{Area} = \text{side}^2
\]
- Here, the side length is 8 feet.
- Substituting the value:
\[
\text{Area} = 8 \times 8 = 64 \text{ square feet}
\]
####
Answer:
\[
\boxed{64 \text{ square feet}}
\]
---
Final Answers:
1. \(\boxed{80 \text{ feet}}\)
2. \(\boxed{832 \text{ feet}}\)
3. \(\boxed{\text{George}}\)
4. \(\boxed{350 \text{ yards}}\)
5. \(\boxed{64 \text{ square feet}}\)
Parent Tip: Review the logic above to help your child master the concept of area word problem worksheet.
