To find the perimeter of a shape, you just need to add up the lengths of all its sides. Let's go through each shape one by one.
Shape 1: Pentagon
This shape has 5 sides. The lengths are 8 in, 8 in, 13 in, 9 in, and 13 in.
Calculation: $8 + 8 + 13 + 9 + 13$
- $8 + 8 = 16$
- $16 + 13 = 29$
- $29 + 9 = 38$
- $38 + 13 = 51$
Perimeter =
51 in
Shape 2: Rectangle
This shape has 4 sides. The top is 23 in, the right side is 12 in. Since it is a rectangle, the bottom is also 23 in and the left side is also 12 in.
Calculation: $23 + 12 + 23 + 12$
- $23 + 23 = 46$
- $12 + 12 = 24$
- $46 + 24 = 70$
Perimeter =
70 in
Shape 3: Hexagon-like shape
This shape has 6 sides. The lengths are 14 in, 6 in, 6 in, 14 in, 9 in, and 9 in.
Calculation: $14 + 6 + 6 + 14 + 9 + 9$
- $14 + 6 = 20$
- $20 + 6 = 26$
- $26 + 14 = 40$
- $40 + 9 = 49$
- $49 + 9 = 58$
Perimeter =
58 in
Shape 4: Rectangle
This shape has 4 sides. The top is 10 in and the right side is 26 in. So the bottom is 10 in and the left is 26 in.
Calculation: $10 + 26 + 10 + 26$
- $10 + 10 = 20$
- $26 + 26 = 52$
- $20 + 52 = 72$
Perimeter =
72 in
Shape 5: Trapezoid
This shape has 4 sides. The lengths given are 15 in (top), 23 in (left), 18 in (bottom), and 23 in (right).
Calculation: $15 + 23 + 18 + 23$
- $15 + 23 = 38$
- $38 + 18 = 56$
- $56 + 23 = 79$
Perimeter =
79 in
Shape 6: Star
The problem states "All sides are equal" and gives one side length as 10 in. A standard star shape like this has 10 outer edges (5 points $\times$ 2 sides per point).
Calculation: $10 \text{ sides} \times 10 \text{ in}$
Perimeter =
100 in
Final Answer:
1) 51 in
2) 70 in
3) 58 in
4) 72 in
5) 79 in
6) 100 in
Parent Tip: Review the logic above to help your child master the concept of perimeter math worksheet.
