Date: P
H A TE
6
R
C
Name: Area
Worksheet 1 Finding the Area of a Rectangle with
Fractional Side Lengths
Complete.
1.
Divide into 7 segments.
Label each segment as a unit fraction.
Mark _
 47 ​on the line.
2.
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A
C
Divide into 10 segments.
Label each segment as a unit fraction.
3
Mark _
​ 10
  ​ on the line.
7
  ​ on the line.
Mark _
​ 10
B
D
Reteach 5A
177
Name: Date: Calculate the area.
3.
Label each small square as a unit fraction.
Mark _
 14 ​and _
 34 ​on the sides of the rectangle.
Shade the area of the rectangle with sides of _
 14 ​unit and _
 34 ​unit.
Area of the shaded rectangle 5
square units
Label each small square as a unit fraction.
Mark _
 38 ​and _
 58 ​on the sides of the rectangle.
Shade the area of the rectangle with sides of _
 38 ​unit and _
 58 ​units.
Area of the shaded rectangle 5
178
Chapter 6 Lesson 6.1
square units
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4.
Name: Date: Find the area of each rectangle.
5.
7 ft
3 ft
Length 5
ft
Width 5
ft
Area 5
ft 
ft2
5
6.
Area of a rectangle
5 length  width
ft
9 ft
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5 ft
Length 5
ft
Width 5
ft
Area 5
ft 
ft2
5
ft
Find the area of each shaded rectangle.
7.
3
_
yd
4
1
_
yd
3
Area 5
5
yd 3
yd
yd2
Reteach 5A
179
Name: 8.
Date: 5
_
ft
8
5
_
ft
7
Area 5
ft 3
ft
ft2
5
Find the area of each rectangle.
9.
5
_
in.
9
3
Area 5
5
10.
in.
in.2
4
_
yd
9
Area 5
3 yd
_
180
in. 3
10
Chapter 6 Lesson 6.1
5
yd 3
yd2
yd
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2
_
in.
Name: Date: Worksheet 2 Base and Height of a Triangle
Name the sides of the triangle.
1.
A
Sides:
2.
B
C
A
Sides:
B
3.
C
A
Sides:
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C
B
Reteach 5A
181
Name: Date: Name the height for the given base of each triangle.
Example
In triangle ABC, if the base is BC,
A
the height is
B
4.
P
AD
.
C
D
In triangle PQR, if the base is PQ,
Q
the height is
.
R
P
.
C
6.
Chapter 6 Lesson 6.2
In triangle PQR, if the base is PQ,
the height is
S
Q
182
the height is
D
B
In triangle ABC, if the base is AC,
A
R
.
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5.
Name: Date: Name the height for the given base of each triangle.
Example
P
In triangle PQR, if the base is QR,
the height is
Q
R
7.
PS
.
S
In triangle ABC, if the base is AB,
A
the height is
.
B
D
C
8.
O
In triangle LMN, if the base is LN,
the height is
L
.
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M
N
9.
B
D
In triangle ABC, if the base is AC,
the height is
.
A
C
Reteach 5A
183
Name: Date: Name the base for the given height of each triangle.
Example
In triangle EFG, if the height is EH,
E
the base is
F
the base is
J
.
G
In triangle JKL, if the height is KM,
the base is
M
12.
K
L
J
K
Chapter 6 Lesson 6.2
L
.
In triangle JKL, if the height is LM,
the base is
M
184
In triangle EFG, if the height is EF,
E
11.
G
H
F
.
.
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10.
FG
Name: Date: Name the base for the given height of each triangle.
Example
In triangle PQR, if the height is PS,
S
the base is
R
QR
.
P
Q
13.
In triangle PQR, if the height is PS,
P
the base is
S
R
Q
14.
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W
15.
W
In triangle WXY, if the height is WZ,
the base is
.
Z
Y
X
.
In triangle WXY, if the height is XZ,
the base is
.
Y
Z
X
Reteach 5A
185
Name: Date: Complete.
16.
In triangle ABC,
A
Z
X
B
Y
C
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.
height
base
17.
18.
base
base
186
Chapter 6 Lesson 6.2
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Example
Name: Date: Worksheet 3 Finding the Area of a Triangle
Find the area of each rectangle.
1.
5 cm
7 cm
Area of a rectangle
5 length  width
Length 5
cm
Width 5
cm
Area
5

5
cm2
2.
9 in.
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6 in.
Length 5
in.
Width 5
in.
Area
5

5
in.2
Reteach 5A
187
Name: Date: The area of triangle ABD is given. Find the area of rectangle ABCD.
A
B
D
C
The area of rectangle
ABCD is double the
area of triangle ABD.
Example
Area of the triangle 5 8 cm2
Area of the rectangle 5
2
3
16
cm2
3.
Area of the triangle 5 28 m2
Area of the rectangle 5
5
4.
Area of the triangle 5 12 ft2
Area of the rectangle 5
5
5.
Area of the triangle 5 16 in.2
Area of the rectangle 5
188
Chapter 6 Lesson 6.3
5
3
m2
3
ft2
3
in.2
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5
8
Name: Date: Find the area of each shaded triangle.
6.
8 yd
A
B
3 yd
The area of the shaded
triangle is half the area
of the rectangle.
C
D
Area of rectangle ABCD 5
3
yd2
Area of triangle ACD 5 _
​ 12 ​3
7.
5
yd2
5
A
4m
B
9m
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D
C
Area of rectangle ABCD 5
3
m2
Area of triangle BCD 5 _
​ 12 ​3
5
5
m2
Reteach 5A
189
Name: Date: Find the area of each shaded triangle.
Example
A
Area of a triangle
​ 12 ​3 base 3 height
5_
5 cm
C
Base 5
Height 5
B
12 cm
12
5
cm
cm
12
​ 12 ​ 3
Area of triangle ABC 5 _
5
30
8.
3
5
cm2
A
2 in.
C
6 in.
Base 5
Height 5
​ 12 ​3
Area of triangle ACD 5 _
190
Chapter 6 Lesson 6.3
in.
in.
5
3
in.2
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D
Name: Date: Find the area of the shaded triangle.
9.
A
7 cm
16 cm
B
C
Base 5
Height 5
​ 12 ​3
Area of triangle ABC 5 _
cm
cm
5
3
cm2
Solve. Show your work.
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10.
In the figure, AB 5 14 inches, AC 5 16 inches, AY 5 9 inches,
and BZ 5 10 inches.
Find the area of triangle ABC.
A
X
B
Z
Y
Reteach 5A
C
191
Name: Date: Solve. Show your work.
11.
In the figure, PR 5 24 meters, RQ 5 16 meters, and RB 5 12 meters.
Find the area of triangle PQR.
P
C
R
A
B
12.
Q
The figure is formed by a rectangle and a square. Find the area of the
shaded part of the figure.
9 cm
192
Chapter 6 Lesson 6.3
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18 cm