Name:
Area of a Triangle
1
1
To find the area of a triangle, use the formula area= 2 x base x height or A= 2 x b x h.
1
1
4 cm
example:
70 mm
A= 2 x b x h
A= 2 x 7 cm x 4 cm
base = 70 mm (7 cm)
A= 2 x 28 cm2
height = 4 cm
A= 14 cm2
1
Find the area of each triangle. Some triangles have mixed units.
b.
c.
20.2 m
.4
48
3
24 4
mm
cm
450
22.34
m
a.
cm
m
6c
38.
area =
area =
area =
d.
e.
f.
0m
82
15.4 mm
5m
3.7
1
420
cm
1
1
5
km
12 2 mm
area =
area =
area =
Find the area of each triangle using the base and height measurements.
g.
area =
b = 75.33 meters
h = 68 meters
h.
area =
b = 47.2 centimeters
h = 595 millimeters
i.
b = .875 meters
h = 92 centimeters
area =
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ANSWER KEY
Area of a Triangle
1
1
To find the area of a triangle, use the formula area= 2 x base x height or A= 2 x b x h.
1
1
4 cm
example:
70 mm
A= 2 x b x h
A= 2 x 7 cm x 4 cm
base = 70 mm (7 cm)
A= 2 x 28 cm2
height = 4 cm
A= 14 cm2
1
Find the area of each triangle. Some triangles have mixed units.
b.
c.
20.2 m
3
cm
m
6c
38.
area =
.4
48
24 4
mm
cm
450
22.34
m
a.
225.634 m2
2
2
area = 868.5 cm or 86,850 mm area =
d.
e.
598.95 cm2
f.
0m
82
15.4 mm
5m
3.7
1
420
cm
1
1
5
km
12 2 mm
area =
96.25 mm2
2
2
area = 7.875 m or 78,750 cm
2
2
area = 0.492 km or 492,000 m
Find the area of each triangle using the base and height measurements.
g.
area =
b = 75.33 meters
h = 68 meters
2,561.22 m2
h.
b = 47.2 centimeters
h = 595 millimeters
i.
b = .875 meters
h = 92 centimeters
2
2
2
2
area = 1,404.2 cm or 140,420 mm area = 0.4025 m or 4,025 cm
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Name:
Area of a Triangle
Find the area of each triangle.
cm
m
12 mm
area =
d.
area =
cm
area =
e.
6.4 km
22
1
m
10 2
.5
10
2
6.
c.
14.3 m
m
b.
a.
f.
14
cm
cm
m
2
5.6
6.4 km
1
25
area =
area =
area =
g.
h.
i.
8.3
m
2m
17.
m
16 cm
45 m
30 m
9.5
m
area =
m
area =
1
16 2 cm
area =
Find the area of each triangle using the base and height measurements.
j.
area =
b = 24 centimeters
h = 17 centimeters
k.
area =
b = 40.5 kilometers
h = 10 kilometers
l.
b = 28.3 meters
h = 18.6 meters
area =
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ANSWER KEY
Area of a Triangle
Find the area of each triangle.
cm
d.
32.55 m2
85.8 mm2
area =
e.
6.4 km
cm
10
m
12 mm
area =
22
2
m
1
.5
10
2
6.
c.
14.3 m
m
b.
a.
115.5 cm2
area =
f.
14
cm
g.
cm
178.5 cm2
area =
h.
m
20.48 km2
area =
2
5.6
6.4 km
1
25
8.3
m
23.24 m2
area =
i.
2m
17.
m
16 cm
45 m
30 m
9.5
m
675 mm2
area =
m
81.7 m2
area =
1
16 2 cm
132 cm2
area =
Find the area of each triangle using the base and height measurements.
j.
b = 24 centimeters
h = 17 centimeters
area =
204 cm2
k.
b = 40.5 kilometers
h = 10 kilometers
area =
202.5 km2
l.
b = 28.3 meters
h = 18.6 meters
area =
263.19 m2
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Name:
Area of a Triangle
Find the area of each triangle.
cm
m
12 mm
area =
d.
area =
cm
area =
e.
6.4 km
22
1
m
10 2
.5
10
2
6.
c.
14.3 m
m
b.
a.
f.
14
cm
cm
m
2
5.6
6.4 km
1
25
area =
area =
area =
g.
h.
i.
8.3
m
2m
17.
m
16 cm
45 m
30 m
9.5
m
area =
m
area =
1
16 2 cm
area =
Find the area of each triangle using the base and height measurements.
j.
area =
b = 24 centimeters
h = 17 centimeters
k.
area =
b = 40.5 kilometers
h = 10 kilometers
l.
b = 28.3 meters
h = 18.6 meters
area =
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ANSWER KEY
Area of a Triangle
Find the area of each triangle.
cm
d.
32.55 m2
85.8 mm2
area =
e.
6.4 km
cm
10
m
12 mm
area =
22
2
m
1
.5
10
2
6.
c.
14.3 m
m
b.
a.
115.5 cm2
area =
f.
14
cm
g.
cm
178.5 cm2
area =
h.
m
20.48 km2
area =
2
5.6
6.4 km
1
25
8.3
m
23.24 m2
area =
i.
2m
17.
m
16 cm
45 m
30 m
9.5
m
675 mm2
area =
m
81.7 m2
area =
1
16 2 cm
132 cm2
area =
Find the area of each triangle using the base and height measurements.
j.
b = 24 centimeters
h = 17 centimeters
area =
204 cm2
k.
b = 40.5 kilometers
h = 10 kilometers
area =
202.5 km2
l.
b = 28.3 meters
h = 18.6 meters
area =
263.19 m2
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Name:
Area of a Triangle
1
1
To find the area of a triangle, use the formula area= 2 x base x height or A= 2 x b x h.
1
4 cm
example:
7 cm
1
A= 2 x b x h
A= 2 x 7 cm x 4 cm
base = 7 cm
A= 2 x 28 cm2
height = 4 cm
A= 14 cm2
1
Find the area of each triangle.
c.
b.
4m
20 cm
5 21 mm
a.
12 mm
22 cm
area =
d.
6
area =
area =
e.
f.
1
2
m
18 cm
24
m
2k
m
12.
m
4k
16.
8m
1
11.
area =
area =
18 5 cm
area =
Find the area of each triangle using the base and height measurements.
g.
area =
b = 37 millimeters
h = 22 millimeters
h.
area =
b = 62.5 kilometers
h = 20 kilometers
i.
b = 44.6 meters
h = 40.3 meters
area =
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ANSWER KEY
Area of a Triangle
1
1
To find the area of a triangle, use the formula area= 2 x base x height or A= 2 x b x h.
1
4 cm
example:
7 cm
1
A= 2 x b x h
A= 2 x 7 cm x 4 cm
base = 7 cm
A= 2 x 28 cm2
height = 4 cm
A= 14 cm2
1
Find the area of each triangle.
c.
b.
4m
20 cm
5 21 mm
a.
12 mm
22 cm
33 mm2
area =
d.
area =
6
220 cm2
e.
2
m
13.5 m2
area =
f.
18 cm
24
m
2k
m
12.
m
4k
16.
8m
1
11.
area =
1
100.04 km2
area =
141.6 m2
18 5 cm
area =
163.8 cm2
Find the area of each triangle using the base and height measurements.
g.
area =
b = 37 millimeters
h = 22 millimeters
407 mm2
h.
area =
b = 62.5 kilometers
h = 20 kilometers
625 km2
i.
area =
b = 44.6 meters
h = 40.3 meters
898.69 m2
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Name:
Perimeter of a Polygon
Find the perimeter of each polygon.
7 cm
32 km
12 m
5
0
2.
7 mm
3.1 m 2
m
05
.
22
3.1 m
12 m
7 mm
5 mm
3.1 m
e.
9 mm
8 mm
28 m
24 km
4 cm
8 mm 8 mm
44m
37 m
5 cm
5 cm
5 mm
51 km
56 m
49 m
c.
m
f.
15.25 m
4 cm
d.
b.
6 cm
6 cm
15.25 m
a.
1
km
4
1
2 km
3
km
4
3.1 m
1
2 km
1
km
2
1 km
1
km
4
Challenge Problems:
5.5 m
107 cm
62 cm
5 mm
?
107 cm
85 cm
85 cm
?
3m
7.5 m
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0.5 m
?
3m
?
10 mm
85 cm
i.
1.5 m
?
5 mm
?
h.
10 mm
g.
ANSWER KEY
Perimeter of a Polygon
Find the perimeter of each polygon.
b.
6 cm
7 cm
4 cm
51 km
32 km
107 km
e.
7 mm
5 mm
5 mm
5
0
2.
7 mm
3.1 m 2
57 mm
3.1 m
m
05
.
22
15.25 m
9 mm
8 mm
3.1 m
214 m
12 m
37 cm
d.
28 m
24 km
4 cm
8 mm 8 mm
44m
37 m
5 cm
5 cm
56 m
49 m
c.
m
f.
15.25 m
6 cm
12 m
a.
1
km
4
1
2 km
1
2 km
1
km
2
3
km
4
1 km
3.1 m
3
3 4 km
111 m
Challenge Problems:
62 cm
678 cm
5.5 m
107 cm
?
5 mm
?
107 cm
85 cm
85 cm
?
3m
7.5 m
26 m
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0.5 m
10 mm
3m
?
40 mm
85 cm
i.
1.5 m
?
5 mm
?
h.
10 mm
g.
Name:
Area of a Rectangle
To find the area of a rectangle, use the formula length x width = area.
This formula is often written as l x w = A.
10 cm
8 cm
The rectangle pictured here has a length of 10 cm and a width of 8 cm.
l = 10 cm
w = 8 cm
10 cm x 8 cm = 80 cm2
Note that the area’s unit is written as cm2.
This is said as “square centimeters” or “centimeters squared”.
Find the area of each rectangle.
b.
2
c.
ft
2
7 1
ft
0.25
cm
2.5 cm
12 1
1.8 km
a.
2.0 km
e.
1
in.
f.
mm
2
3
4 4
3.5
6
d.
mi
30.
0m
m
5 mi
Challenge: Find the area of the polygon. All corners are 90°. Use the back if you need work
space.
0.4 m
1.0 m
0.6 m
0.4 m
0.4 m
1.6 m
2.4 m
0.4 m
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ANSWER KEY
Area of a Rectangle
To find the area of a rectangle, use the formula length x width = area.
This formula is often written as l x w = A.
10 cm
8 cm
The rectangle pictured here has a length of 10 cm and a width of 8 cm.
l = 10 cm
w = 8 cm
10 cm x 8 cm = 80 cm2
Note that the area’s unit is written as cm2.
This is said as “square centimeters” or “centimeters squared”.
Find the area of each rectangle.
b.
2
c.
ft
2
7 1
ft
0.25
cm
2.5 cm
12 1
1.8 km
a.
2.0 km
93 3 in.2
0.625 cm2
e.
1
in.
f.
mm
2
3
4 4
3.5
6
d.
3.6 km2
4
mi
30.
0m
42 1 in.2
m
105 mm2
4
5 mi
23 3 mi2
4
Challenge: Find the area of the polygon. All corners are 90°. Use the back if you need work
space.
2
0.4 m
A
B
1.0 m
C
0.6 m
0.4 m
0.4 m
1.6 m
2.4 m
0.4 m
area of A = 2.4 x 1.6 = 3.84 m
area of B = 1.0 x 0.4 = - 0.40 m2
3.44 m2
area of C = 0.4 x 0.4 = + 0.16 m2
3.60 m2
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Name:
Perimeter of a House
Below is a map of a house called a floor plan. On it are labeled the measurements
of the rooms found in the house. Use the floor plan to answer the questions.
9 ft
14 ft
9 ft
9 ft
12 ft
6
DINING ROOM
6 ft
16 ft
BEDROOM 1
6 ft
11 ft
12 ft
5 ft
12 ft
18 ft
ft
8 ft
KITCHEN
2 ft
2 ft
3 ft
6
ft
ft
6
COVERED PORCH
5 ft
1 ft
2 ft
2 ft
LIVING ROOM
ENTRY HALL
BEDROOM 2
3 ft
13 ft
7 ft
BATHROOM
5 ft
2 ft
5 ft
5 ft
BACK PORCH
6 ft
23 ft
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Name:
Perimeter of a House
1. What is the perimeter of the kitchen?
2. What is the perimeter of the bathroom?
3. What is the perimeter of the bedroom 1?
4. What is the perimeter of the dining room?
5. What is the perimeter of the covered porch?
6. What is the perimeter of the bedroom 2?
7. What is the perimeter of the entry hall?
8. What is the perimeter of the living room?
9. What is the perimeter of the back porch?
*CHALLENGE* What is the perimeter of
the outside of the house (including porches)?
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ANSWER KEY
Perimeter of a House
1. What is the perimeter of the kitchen?
52 ft
2. What is the perimeter of the bathroom?
24 ft
3. What is the perimeter of the bedroom 1?
46 ft
4. What is the perimeter of the dining room?
58 ft
5. What is the perimeter of the covered porch?
78 ft
6. What is the perimeter of the bedroom 2?
38 ft
7. What is the perimeter of the entry hall?
34 ft
8. What is the perimeter of the living room?
54 ft
9. What is the perimeter of the back porch?
46 ft
*CHALLENGE* What is the perimeter of
the outside of the house (including porches)?
153 ft
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