Name:
Score:
Date:
Area of Polygons Application Problems
(To receive full credit, you MUST show your work!)
—
1. Wlndow Another window has the shape shown.
Find the area of the window.
36
in.
120 in.
2. Floor Tiles: You are piecing together floor tiles as shown in
the figure. Find the area ofthe figure.
2 in.
A=
6 In.
3. Energy Conservation. The total area of a building’s windows affects
the cost of heating or cooling the building. Find the area ofthe window
atthe right
A=
48 in.
4. Lawn Mowing. You are mowing lawns to make extra
money over the
summer. A local company hires you to mow their front
lawn, which is
in the shape of a trapezoid. The lengths of the bases of
the lawn are
60 1et and 80 feet. The height is 30 feet. You charge
$0.02 per square
foot How much will you earn from mowing this lawn?
/
60ff
30ft
-I
80ft
_______
45 ft
5.
Garden. Your neighbor recently put a new garden in their rectangular
yard. The yard has a length of 45 feet and a width of 30 feet. The garden
is in the shape of a rhombus. The diagonals of the rhombus are 25 feet
and 18 feet. Find the area of the lawn remaining after the garden was
installed.
Area:
Th
3OJPj
25ft
6. Making a Kite. You are making a kite. The frame is to be made from
two pieces of balsa wood; one measuring 60 inches and the other 36 inches.
If you buy 1 square yard of material, will you have enough to piece
together the covering for the kite? Explain.
7. Advertising. You are in charge of designing a sign to advertise for a
pastry company. The sign will be shaped to resemble a pie. The
template diagram is given at the right. Find the area of the sign in
terms of x units.
Area:
-
8. Garage Roof. The garage roof shown is made from two isosceles
trapezoids and two isosceles triangles. Find the area of the entire
roof.
4x
zH::,
6b
__________________
Name:
Score:
Area of Polygons
—
Date:
Application Problems
(To receive full credit, you MUST show your work!)
1. Window: Mother window has the shape shown.
Find the area of the window.
36
in.
in.
A=
12 in.
2 in.
2. Floor Tiles: You are piecing together floor tiles as shown in
the figure. Find the area of the figure.
A
2
1j
6 in.
/f%NOin.
3. Energy Conservation. The total area of a building’s windows affbcts
the cost of heating or cooling the building. Find the area ofthe window
at the right.
in.
48 in.
4. Lawn Mowing. You are mowing lawns to make extra money over the
summer. A local company hires you to mow thefr front lawn, which is
in the shape of a trapezoid. The lengths of the bases of the lawn are
60 feet and 80 feet. The height is 30 feet. You charge $0.02 per square
foot. How much will you earn from mowing this lawn?
LZ_ZZi
rfl
/
60ff
30 ft
-I
80 ft
-
45 ft
5.
Garden. Your neighbor recently put a new garden in their rectangular
yard. The yard has a length of 45 feet and a width of 30 feet. The garden
is in the shape of a rhombus. The diagonals of the rhombus are 25 feet
and 18 feet. Find the area of the lawn remaining after the garden was
installed,
30 ft
25 ft
Area:
6. Making a Kite. You are making a kite. The frame is to be made from
two pieces of balsa wood; one measuring 60 inches and the other 36 inches.
If you buy I square yard of material, will you have enough to piece
together the covering for the kite? Explain.
7. Advertising. You are in charge of designing a sign to advertise for a
pastry company. The sign will be shaped to resemble a pie. The
template diagram is given at the right. Find the area of the sign in
terms of x units.
Area:
8.
Garage Roof. The garage roof shown is made from two isosceles
trapezoids and two isosceles triangles. Find the area of the entire
roof.
———i
Geometry
ID: 13
Name
REVIEW: Area of Polygons
Date
Period
Find the area of each.
1)
2)\
(
,\\___________
I I km
5
3)
(4
in
4)
m
600 cm
600 cm
12 m
6m
5)
7,6 m
in
7.6 m
Find the missing measurement. Round your answer to the nearest tenth. Take care to use the correct units
6)
7)
400 cm
3.1 m
m
400 cm
7.9 m
Area= 16m
2
8)
Area
=
33 m
2
9)
? mi
‘i’s
5
mi
Area = 50.6 ft
2
rniU5
Area
10)
=
25 rni
2
11)
?ft
//
3.6 m
m
,
11.2 ft
11 m
12 11
Area
Area
76 ft
2
—1—
=
51 1 m
2
.
,,
13)
12)
? mm
14.4 yd
5 cm
8.9cm
I6.Sd
Area
=
2
Area = 33 cm
99.1 yd
2
15)
14)
11.9 cm
s
m
6.3cm\
? cm
Area
/
/
11.2cm
Area
40 cm
2
=
89.2 cm
2
Find the area of each regular polygon. Round your answer to the nearest tenth if necessary.
17)
16)
Find the area of each regular polygon. Leave your answer in simplest form.
18) quadrilateral
radius 7.\/
19) triangle
radius = 14
20) hexagon
21) triangle
radius4’J
radius
=
22) hexagon
apothem
20\f
3
=
16
Find the area of each regular polygon. Round your answer to the nearest tenth if necessary.
24)
23)
25)
A
26)
/‘
—2--