I will solve the problem by calculating the perimeter of each parallelogram shown in the image. The perimeter of a parallelogram is the sum of the lengths of all its sides. Since opposite sides of a parallelogram are equal, the formula for the perimeter is:
Perimeter = 2 × (length of one side + length of adjacent side)
I will go through each of the 9 problems one by one.
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Problem 1:
- Sides: 4 ft and 12 ft
- Perimeter = 2 × (4 + 12) = 2 × 16 =
32 ft
Problem 2:
- Sides: 2 in and 10 in
- Perimeter = 2 × (2 + 10) = 2 × 12 =
24 in
Problem 3:
- Sides: 9 yd and 6 yd
- Perimeter = 2 × (9 + 6) = 2 × 15 =
30 yd
Problem 4:
- Sides: 8 in and 3 in
- Perimeter = 2 × (8 + 3) = 2 × 11 =
22 in
Problem 5:
- Sides: 17 yd and 9 yd
- Perimeter = 2 × (17 + 9) = 2 × 26 =
52 yd
Problem 6:
- Sides: 20 ft and 14 ft
- Perimeter = 2 × (20 + 14) = 2 × 34 =
68 ft
Problem 7:
- Sides: 15 yd and 7 yd
- Perimeter = 2 × (15 + 7) = 2 × 22 =
44 yd
Problem 8:
- Sides: 11 ft and 18 ft
- Perimeter = 2 × (11 + 18) = 2 × 29 =
58 ft
Problem 9:
- Sides: 5 in and 13 in
- Perimeter = 2 × (5 + 13) = 2 × 18 =
36 in
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Final Answers:
1)
32 ft
2)
24 in
3)
30 yd
4)
22 in
5)
52 yd
6)
68 ft
7)
44 yd
8)
58 ft
9)
36 in
This completes the solution to finding the perimeter of each parallelogram.
Parent Tip: Review the logic above to help your child master the concept of geometry parallelogram worksheet.