C H A PT ER
7
Perimeter and Area
Skill Builder
1. The Metric System - One
Dimensional Conversions
1 Perform the following metric conversion.
EVALUATED
6 Perform the following metric conversion.
39cm = ? dm
0.0851m = ? mm
2 Perform the following metric conversion.
7 Perform the following metric conversion.
0.321cm = ? m
422m = ? km
3 Perform the following metric conversion.
8 Perform the following metric conversion.
5m = ? cm
0.00281m = ? km
4 Perform the following metric conversion.
9 Calculate the following sum and state your
answer in m.
23dam = ? mm
428cm + 377 dm =
?
5 Perform the following metric conversion.
10 Calculate the following sum and state your
0.751km = ? dam
answer in dm.
0.00825km + 0.48m =
?
2. The Metric System - Two Dimensional Conversions
INTRODUCED
1 Perform the following metric conversion.
3 Perform the following metric conversion.
18dm 2 = ? m 2
63m 2 = ? mm 2
2 Perform the following metric conversion.
4 Perform the following metric conversion.
3285dam 2 = ? km 2
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2hm 2 = ? m 2
Skill Builder 127
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Skill Builder
5 Perform the following metric conversion.
2
4.827 m = ? dm
8 Calculate the following sum and state your
answer in dm2.
2
52500mm 2 + 845cm 2 =
?
6 Perform the following metric conversion.
9 Calculate the following product and state
0.0123mm 2 = ? m 2
your answer in m2.
0.28dam × 435dm =
?
7 Calculate the following sum and state your
answer in m2.
0.718dam 2 + 0.03571hm 2 =
?
10 Calculate the following product and state
your answer in cm2.
0.0015m × 0.12dm =
?
3. Perimeter of a Polygon Level 1
1 Calculate the perimeter of the following
square.
3 Calculate the perimeter of the
following regular pentagon.
2 Calculate the perimeter of the following
rhombus.
EVALUATED
4 Calculate the perimeter of the following
regular octagon.
128 Chapter 7: Perimeter and Area
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Skill Builder
5 Calculate the perimeter of the following
parallelogram.
9 Calculate the perimeter of the following
diagram.
6 Calculate the perimeter of the following
isosceles triangle.
10 Calculate the perimeter of the following
diagram.
7 Calculate the perimeter of the following
quadrilateral.
8 Calculate the perimeter of the following
isosceles trapezoid.
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4. Perimeter of a Polygon
Level 2
EVALUATED
1 The side length of a regular hexagon
8 The perimeter of the following
measures 9dm. What is the perimeter
in cm?
parallelogram is 32m. What is the measure
of the missing side x?
2 The dimensions of a rectangle are 9m by
4m. What is the perimeter in cm?
3 The perimeter of a regular pentagon is
600cm. What is the length of each side
in dm?
4 The perimeter of a regular hexagon is
840mm. What is the length of each side
in dm?
5 The perimeter of a square is 48mm. What is
the length of each side in cm?
6 The perimeter of a rhombus is 56cm. What
is the length of each side?
7 The perimeter of the following isosceles
9 Yolanda’s property is in the shape of a
square. The perimeter of her property is
160m. She wants to plant a cedar hedge on
three sides of her property. If it costs $10
per m of hedge, how much money will she
spend?
10 A square measuring 9cm per side has the
same perimeter as an equilateral triangle.
What is the measure of each side of this
triangle?
triangle is 23cm. What is the measure of the
missing side x?
5. Areas of Polygons Level 1
1 Calculate the area of the following square.
EVALUATED
2 Calculate the area of the
following rectangle.
130 Chapter 7: Perimeter and Area
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Skill Builder
3 Calculate the area of the following triangle.
7 Calculate the area of the following
trapezoid.
4 Calculate the area of the following triangle.
8 Calculate the area of the following
trapezoid.
5 Calculate the area of the following
parallelogram.
9 Calculate the area of the following
rhombus.
6 Calculate the area of the following
parallelogram.
10 Calculate the area of the following
rhombus.
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6. Areas of Polygons Level 2
INTRODUCED
1 What is the area of a parallelogram in cm2
when its height measures 5.2cm and its
base measures 85mm?
2 Calculate the area of a rhombus whose
long diagonal measures 12cm and the short
diagonal measures 0.08m.
3 Find the area of the following shape
by breaking it into rectangles. All
measurements are in cm.
5 A parallelogram has an area of 96m2.
Calculate the height if the base measures
16m.
6 A trapezoid has an area of 100cm2.
Calculate the measure of the height if the
long base measures 12cm and the short
base measures 8cm.
7 The perimeter of a rectangle is 42dm. If
the height is 11dm, what is the area of the
rectangle in cm2?
8 The area of a rectangle is 50cm2. If the
height is 5cm, what is the perimeter of the
rectangle?
9 The tin roof of a house is made from 4
4 Find the area of the following shape
by breaking it into rectangles. All
measurements are in m.
identical triangles each having a base of
10m and a height of 6m. How much would
it cost to paint this roof if it costs $3 per m2?
10 A liter of paint covers an area of 12m2. The
4 interior walls of warehouse are rectangles
with dimensions of 9m by 16m. How many
liters of paint would it take to cover the
interior walls of the warehouse?
132 Chapter 7: Perimeter and Area
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Workout Section
1. The side length of a regular hexagon
measures 15dm. What is the perimeter
in cm?
7. Calculate the perimeter of the following
right trapezoid.
16 m
2. The perimeter of a square is 360mm. What
is the length of each side in cm?
3. A square measuring 18cm per side has
the same perimeter as a regular hexagon.
What is the measure of each side of this
hexagon?
4. Brad’s property is in the shape of a square.
The perimeter of his property is 320m.
He wants to fence off two sides of his
property. If it costs $6 per meter of fence,
how much money will he spend?
20 m
16 m
12 m
8. Calculate the perimeter of the following
diagram.
6 cm
5. The perimeter of the following isosceles
triangle is 100cm. What is the measure of
the missing side x?
7 cm
x
3 cm
9 cm
28 cm
6. Calculate the perimeter of the following
regular pentagon.
9. Calculate the perimeter of the following
diagram.
2 cm
3 cm
6 cm
17 cm
14 cm
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>
√
∡
∈∞
Workout Section 133
Updated on 21/08/2013
Workout
Section
10. Calculate the perimeter of the following
quadrilateral.
6m
15. A parallelogram has an area of 128m2.
Calculate the height if the base measures
4m.
16. Perform the following metric conversion.
0.56cm = ? dm
11 m
3m
17. Calculate the following sum and state your
answer in dm.
0.00451km + 0.25m = ?
18. Perform the following metric conversion.
9m
11. A liter of paint covers an area of 15m2.
The 4 exterior walls of a small airplane
hanger in St. Lazare are rectangles with
dimensions of 10m by 21m. How many
liters of paint would it take to cover the
exterior walls of the hanger?
0.00593m = ? km
19. Calculate the following sum and state
your answer in m.
509cm + 192dm = ?
12. What is the area of a parallelogram in cm2
when its height measures 6.7cm and its
base measures 70mm?
20. Perform the following metric conversion.
13. The tin roof of the community center in St.
Anne de Bellevue is made from 6 identical
triangles each having a base of 18m and a
height of 8m. How much would it cost to
paint this roof if it costs $2 per m2?
21. Calculate the area of the following
rhombus.
474dam = ? mm
14. Find the area of the following polygon.
Note that all of the dimensions are in
centimeters.
6m
3
12
23 m
9
18
134 Chapter 7: Perimeter and Area
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Workout
Section
22. Calculate the area of the following square.
25. Calculate the area of triangle BCD
represented below.
B
10 m
A
D
25 m
C
26. Perform the following metric conversion.
0.00073hm2 = ? m2
7m
23. Calculate the area of the following
rectangle.
27. Calculate the following sum and state
your answer in dm2.
867236mm2 + 48cm2 = ?
28. Calculate the following product and state
your answer in cm2.
2m
0.67m × 0.23dm = ?
29. Perform the following metric conversion
97dm2 = ? m2
9m
24. Calculate the area of the following
trapezoid.
30. Calculate the following sum and state
your answer in m2.
0.625dam2 + 0.06234hm2 = ?
2m
4m
6m
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Workout Section 135
Updated on 11/10/2013
Updated on 21/08/2013