To find the perimeter of a polygon, you simply add up the lengths of all its sides. Let’s go through each shape one by one.
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a. Triangle with sides 4 cm, 5 cm, and 6 cm
Add: 4 + 5 + 6 =
15 cm
b. Rhombus (all sides equal) — each side is 9 ft
There are 4 sides: 9 + 9 + 9 + 9 =
36 ft
(or 4 × 9 = 36 ft)
c. Pentagon with sides: 5 in., 7 in., 8 in., 8 in., 7 in.
Add: 5 + 7 + 8 + 8 + 7 =
5 + 7 = 12; 12 + 8 = 20; 20 + 8 = 28; 28 + 7 =
35 in.
d. Parallelogram — opposite sides equal: 12 mm, 10 mm, 12 mm, 10 mm
Add: 12 + 10 + 12 + 10 =
12 + 10 = 22; 22 + 12 = 34; 34 + 10 =
44 mm
e. Quadrilateral with sides: 4 km, 3 km, 4 km, 2 km
Add: 4 + 3 + 4 + 2 =
4 + 3 = 7; 7 + 4 = 11; 11 + 2 =
13 km
f. Pentagon with sides: 6 ft, 3 ft, 4 ft, 8 ft, 4 ft
Add: 6 + 3 + 4 + 8 + 4 =
6 + 3 = 9; 9 + 4 = 13; 13 + 8 = 21; 21 + 4 =
25 ft
g. Triangle with sides: 7 cm, 10 cm, 15 cm
Add: 7 + 10 + 15 =
7 + 10 = 17; 17 + 15 =
32 cm
h. Rectangle — opposite sides equal: 11 in., 9 in., 11 in., 9 in.
Add: 11 + 9 + 11 + 9 =
11 + 9 = 20; 20 + 11 = 31; 31 + 9 =
40 in.
(or 2×(11+9) = 2×20 = 40 in.)
i. Regular hexagon — all 6 sides are 2 m
Add: 2 + 2 + 2 + 2 + 2 + 2 =
12 m
(or 6 × 2 = 12 m)
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Final Answer:
a. 15 cm
b. 36 ft
c. 35 in.
d. 44 mm
e. 13 km
f. 25 ft
g. 32 cm
h. 40 in.
i. 12 m
Parent Tip: Review the logic above to help your child master the concept of polygon perimeter worksheet.
