Here are the step-by-step calculations to find the perimeter for each shape. Remember, the
perimeter is the total distance around the outside of a shape. We add up all the side lengths. For circles, we use the formula $C = 2 \times \pi \times r$ (where $\pi = 3.14$).
1) Rectangle
* The sides are 8 ft and 15 ft. A rectangle has two of each.
* Calculation: $8 + 8 + 15 + 15$
* $16 + 30 = 46$
* Perimeter =
46 ft
2) Equilateral Triangle
* All three sides are equal to 7 in.
* Calculation: $7 + 7 + 7$ (or $7 \times 3$)
* Perimeter =
21 in
3) Circle
* The radius ($r$) is 11 yd.
* Formula: $2 \times 3.14 \times 11$
* First, $2 \times 11 = 22$. Then, $22 \times 3.14$.
* $22 \times 3.14 = 69.08$
* Perimeter =
69.08 yd
4) Parallelogram
* The sides are 16 in and 8 in. It has two of each.
* Calculation: $16 + 16 + 8 + 8$
* $32 + 16 = 48$
* Perimeter =
48 in
5) Square
* One side is 5 yd. A square has 4 equal sides.
* Calculation: $5 \times 4$
* Perimeter =
20 yd
6) Trapezoid
* Add all four sides together: 13 ft, 7 ft, 19 ft, and 10 ft.
* Calculation: $13 + 7 + 19 + 10$
* $20 + 29 = 49$
* Perimeter =
49 ft
7) Kite / Quadrilateral
* The top two sides are 3 yd each. The bottom two sides are 11 yd each.
* Calculation: $3 + 3 + 11 + 11$
* $6 + 22 = 28$
* Perimeter =
28 yd
8) Trapezoid
* Add all four sides: 10 ft, 16 ft, 9 ft, and 16 ft.
* Calculation: $10 + 16 + 9 + 16$
* $26 + 25 = 51$
* Perimeter =
51 ft
9) Rhombus / Parallelogram
* One side is 19 in. Since the tick marks on all sides are the same, all 4 sides are equal.
* Calculation: $19 \times 4$
* $19 \times 4 = 76$
* Perimeter =
76 in
Final Answer:
1) 46 ft
2) 21 in
3) 69.08 yd
4) 48 in
5) 20 yd
6) 49 ft
7) 28 yd
8) 51 ft
9) 76 in
Parent Tip: Review the logic above to help your child master the concept of perimeter of shapes worksheet.
