Worksheet 1 Finding the Area of a Rectangle with
Fractional Side Lengths
Complete.
1.
B
A
Divide into 7 segments.
Label each segment as a unit fraction.
Mark
4
_
7
on the line.
2.
C
D
Divide into 10 segments.
Label each segment as a unit fraction.
Mark
3
_
10
on the line.
Mark
7
_
10
on the line.
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C
H
A
P
T
E
R
Area
6
Calculate the area.
3.
Label each small square as a unit fraction.
Mark
1
_
4
and
3
_
4
on the sides of the rectangle.
Shade the area of the rectangle with sides of
1
_
4
unit and
3
_
4
unit.
Area of the shaded rectangle 5
square units
4.
Label each small square as a unit fraction.
Mark
3
_
8
and
5
_
8
on the sides of the rectangle.
Shade the area of the rectangle with sides of
3
_
8
unit and
5
_
8
units.
Area of the shaded rectangle 5
square units
178
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Chapter 6 Lesson 6.1
5.
7 ft
3 f
t
Length 5 ft
W i d t h 5
ft
Area 5
ft ft
5
ft
2
6.
9 ft
5 f
t
Length 5 ft
W i d t h 5
ft
Area 5
ft ft
5
ft
2
7.
1
3
_
yd
3
4
_
yd
Area 5 yd yd
5
yd
2
Area of a rectangle
5 length width
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8.
5
7
_
ft
5
8
_
ft
Area 5 ft ft
5
ft
2
9.
2
3
_
in.
5
9
_
in.
Area 5 in. in.
5
in.
2
10.
4
9
_
yd
3
10
_
yd
Area 5 yd yd
5
yd
2
180
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Chapter 6 Lesson 6.1
Worksheet 2 Base and Height of a Triangle
Name the sides of the triangle.
1.
A
B
C
Sides:
2.
A
BC
Sides:
3.
A
C
B
Sides:
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Name the height for the given base of each triangle.
In triangle
ABC
, if the base is
BC
,
AD
Example
A
D
CB
4.
PQ
R
In triangle
PQR
, if the base is
PQ
,
5.
A
C
B
D
In triangle
ABC
, if the base is
AC
,
6.
P
R
Q
S
In triangle
PQR
, if the base is
PQ
,
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Chapter 6 Lesson 6.2
Name the height for the given base of each triangle.
P
SR
Q
In triangle
PQR
, if the base is
QR
,
PS
Example
7.
A
B
D
C
In triangle
ABC
, if the base is
AB
,
8.
M
N
O
L
In triangle
LMN
, if the base is
LN
,
9.
A
D
C
B
In triangle
ABC
, if the base is
AC
,
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Name the base for the given height of each triangle.
In triangle
EFG
, if the height is
EH
,
the base is .
FG
Example
E
H
GF
10.
E
F
G
In triangle
EFG
, if the height is
EF
,
the base is .
11.
J
M
L
K
In triangle
JKL
, if the height is
KM
,
the base is .
12.
J
L
K
M
In triangle
JKL
, if the height is
LM
,
the base is .
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Chapter 6 Lesson 6.2
Name the base for the given height of each triangle.
In triangle
PQR
, if the height is
PS
,
the base is .
QR
Example
Q
R
S
P
13.
R
SQ
P
In triangle
PQR
, if the height is
PS
,
the base is .
14.
W
Z
Y
X
In triangle
WXY
, if the height is
WZ
,
the base is .
15.
W
Y
Z
X
In triangle
WXY
, if the height is
XZ
,
the base is .
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Complete.
16. In triangle
ABC
,
A
Y
Z
X
C
B
a. If the height is
AY
, the base is .
b. If the height is
BZ
, the base is .
c. If the height is
CX
, the base is .
For each triangle, the base is given. Use a drawing triangle to draw
and label the height.
base
height
Example
17.
base
18.
base
186
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Chapter 6 Lesson 6.2
Worksheet 3 Finding the Area of a Triangle
1.
5 cm
7 cm
Length 5
cm
Width 5
cm
Area 5
5 cm
2
2.
9 in.
6 in.
Length 5 in.
Width 5
in.
Area 5
5 in.
2
Area of a rectangle
5 length width
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The area of triangle
ABD
ABCD
.
A
D
B
C
The area of rectangle
ABCD
is double the
area of triangle
ABD
.
Area of the triangle 5 8 cm
2
Area of the rectangle 5
2
8
5 cm
2
Example
16
3. Area of the triangle 5 28 m
2
Area of the rectangle 5
5 m
2
4. Area of the triangle 5 12 ft
2
Area of the rectangle 5
5 ft
2
5. Area of the triangle 5 16 in.
2
Area of the rectangle 5
5 in.
2
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Chapter 6 Lesson 6.3
6.
8 yd
3 yd
A
D
C
B
Area of rectangle
ABCD
5
5 yd
2
Area of triangle
ACD
5
1
_
2
5 yd
2
7.
4 m
9 m
BA
DC
Area of rectangle
ABCD
5
5 m
2
Area of triangle
BCD
5
1
_
2
5 m
2
The area of the shaded
triangle is half the area
of the rectangle.
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Example
5 cm
12 cm
B
A
C
Base 5 cm
Height 5
cm
Area of triangle
ABC
5
1
_
2
5 cm
2
12
30
5
12
5
Area of a triangle
5
1
_
2
base height
8.
6 in.
2 in.
A
C
D
Base 5 in.
Height 5
in.
Area of triangle
ACD
5
1
_
2
5 in.
2
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Chapter 6 Lesson 6.3
9.
16 c
m
7 cm
C
B
A
Base 5 cm
Height 5
cm
Area of triangle
ABC
5
1
_
2
5 cm
2
Solve. Show your work.
10. In the figure,
AB
5 14 inches,
AC
5 16 inches,
AY
5 9 inches,
and
BZ
5 10 inches.
ABC
.
C
B
XZ
A
Y
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Solve. Show your work.
11. In the figure,
PR
5 24 meters,
RQ
5 16 meters, and
RB
5 12 meters.
PQR
.
A
P
Q
B
R
C
12. The figure is formed by a rectangle and a square. Find the area of the
shaded part of the figure.
18 cm
9 cm
192
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Chapter 6 Lesson 6.3
