Area & Perimeter Worksheets - Free Printable
Educational worksheet: Area & Perimeter Worksheets. Download and print for classroom or home learning activities.
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Show Answer Key & Explanations
Step-by-step solution for: Area & Perimeter Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Area & Perimeter Worksheets
I'll solve this problem by calculating the area and perimeter for each of the 12 shapes shown on the grid. The key information given is that each square is 1 inch wide and tall, which means each square has an area of 1 square inch, and each side of a square is 1 inch long.
Let me go through each shape one by one:
Shape 1: This is a cross shape made of 5 squares.
- Area: 5 square inches (5 squares × 1 sq in each)
- Perimeter: Counting the outer edges, there are 12 sides exposed, so 12 inches.
Shape 2: This is a 3×2 rectangle missing one corner square, so it has 5 squares.
- Area: 5 square inches
- Perimeter: Counting the outer edges, there are 12 sides exposed, so 12 inches.
Shape 3: This is an L-shape made of 4 squares.
- Area: 4 square inches
- Perimeter: Counting the outer edges, there are 10 sides exposed, so 10 inches.
Shape 4: This is a zigzag shape made of 4 squares.
- Area: 4 square inches
- Perimeter: Counting the outer edges, there are 10 sides exposed, so 10 inches.
Shape 5: This is a 2×2 square with one additional square attached to the bottom right, making 5 squares total.
- Area: 5 square inches
- Perimeter: Counting the outer edges, there are 12 sides exposed, so 12 inches.
Shape 6: This is a 2×2 square, so 4 squares total.
- Area: 4 square inches
- Perimeter: Counting the outer edges, there are 8 sides exposed, so 8 inches.
Shape 7: This is a 3×2 rectangle missing the top right square, so 5 squares total.
- Area: 5 square inches
- Perimeter: Counting the outer edges, there are 12 sides exposed, so 12 inches.
Shape 8: This is a plus sign shape made of 5 squares.
- Area: 5 square inches
- Perimeter: Counting the outer edges, there are 12 sides exposed, so 12 inches.
Shape 9: This is a 3×3 square, so 9 squares total.
- Area: 9 square inches
- Perimeter: Counting the outer edges, there are 12 sides exposed (3 on each side), so 12 inches.
Shape 10: This is a T-shape made of 5 squares.
- Area: 5 square inches
- Perimeter: Counting the outer edges, there are 12 sides exposed, so 12 inches.
Shape 11: This is a 2×3 rectangle, so 6 squares total.
- Area: 6 square inches
- Perimeter: Counting the outer edges, there are 10 sides exposed (2+3+2+3), so 10 inches.
Shape 12: This is a zigzag shape made of 5 squares.
- Area: 5 square inches
- Perimeter: Counting the outer edges, there are 12 sides exposed, so 12 inches.
Now I'll summarize the answers for each shape:
1) Area: 5 in², Perimeter: 12 in
2) Area: 5 in², Perimeter: 12 in
3) Area: 4 in², Perimeter: 10 in
4) Area: 4 in², Perimeter: 10 in
5) Area: 5 in², Perimeter: 12 in
6) Area: 4 in², Perimeter: 8 in
7) Area: 5 in², Perimeter: 12 in
8) Area: 5 in², Perimeter: 12 in
9) Area: 9 in², Perimeter: 12 in
10) Area: 5 in², Perimeter: 12 in
11) Area: 6 in², Perimeter: 10 in
12) Area: 5 in², Perimeter: 12 in
Let me go through each shape one by one:
Shape 1: This is a cross shape made of 5 squares.
- Area: 5 square inches (5 squares × 1 sq in each)
- Perimeter: Counting the outer edges, there are 12 sides exposed, so 12 inches.
Shape 2: This is a 3×2 rectangle missing one corner square, so it has 5 squares.
- Area: 5 square inches
- Perimeter: Counting the outer edges, there are 12 sides exposed, so 12 inches.
Shape 3: This is an L-shape made of 4 squares.
- Area: 4 square inches
- Perimeter: Counting the outer edges, there are 10 sides exposed, so 10 inches.
Shape 4: This is a zigzag shape made of 4 squares.
- Area: 4 square inches
- Perimeter: Counting the outer edges, there are 10 sides exposed, so 10 inches.
Shape 5: This is a 2×2 square with one additional square attached to the bottom right, making 5 squares total.
- Area: 5 square inches
- Perimeter: Counting the outer edges, there are 12 sides exposed, so 12 inches.
Shape 6: This is a 2×2 square, so 4 squares total.
- Area: 4 square inches
- Perimeter: Counting the outer edges, there are 8 sides exposed, so 8 inches.
Shape 7: This is a 3×2 rectangle missing the top right square, so 5 squares total.
- Area: 5 square inches
- Perimeter: Counting the outer edges, there are 12 sides exposed, so 12 inches.
Shape 8: This is a plus sign shape made of 5 squares.
- Area: 5 square inches
- Perimeter: Counting the outer edges, there are 12 sides exposed, so 12 inches.
Shape 9: This is a 3×3 square, so 9 squares total.
- Area: 9 square inches
- Perimeter: Counting the outer edges, there are 12 sides exposed (3 on each side), so 12 inches.
Shape 10: This is a T-shape made of 5 squares.
- Area: 5 square inches
- Perimeter: Counting the outer edges, there are 12 sides exposed, so 12 inches.
Shape 11: This is a 2×3 rectangle, so 6 squares total.
- Area: 6 square inches
- Perimeter: Counting the outer edges, there are 10 sides exposed (2+3+2+3), so 10 inches.
Shape 12: This is a zigzag shape made of 5 squares.
- Area: 5 square inches
- Perimeter: Counting the outer edges, there are 12 sides exposed, so 12 inches.
Now I'll summarize the answers for each shape:
1) Area: 5 in², Perimeter: 12 in
2) Area: 5 in², Perimeter: 12 in
3) Area: 4 in², Perimeter: 10 in
4) Area: 4 in², Perimeter: 10 in
5) Area: 5 in², Perimeter: 12 in
6) Area: 4 in², Perimeter: 8 in
7) Area: 5 in², Perimeter: 12 in
8) Area: 5 in², Perimeter: 12 in
9) Area: 9 in², Perimeter: 12 in
10) Area: 5 in², Perimeter: 12 in
11) Area: 6 in², Perimeter: 10 in
12) Area: 5 in², Perimeter: 12 in
Parent Tip: Review the logic above to help your child master the concept of area and perimeter worksheets.
