Worksheet 1 Finding the Area of a Rectangle with Fractional Side Lengths
Complete.
1. BA
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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CHAPTER
Area6
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
Find the area of each rectangle.
5. 7 ft
3 ft
Length 5 ft
Width 5 ft
Area 5 ft ft
5 ft2
6. 9 ft
5 ft
Length 5 ft
Width 5 ft
Area 5 ft ft
5 ft2
Find the area of each shaded rectangle.
7.
13_ yd
34_ yd
Area 5 yd yd
5 yd2
Area of a rectangle 5 length width
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8.
57_ ft
58_ ft
Area 5 ft ft
5 ft2
Find the area of each rectangle.
9.
23_ in.
59_ in.
Area 5 in. in.
5 in.2
10. 49_ yd
310_yd
Area 5 yd yd
5 yd2
180
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Chapter 6 Lesson 6.1
Worksheet 2 Base and Height of a TriangleName the sides of the triangle.
1. A
B C
Sides:
2. A
B C
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,
the height is .AD
ExampleA
DCB
4. P Q
R
In triangle PQR, if the base is PQ,
the height is .
5. A
CB
D
In triangle ABC, if the base is AC,
the height is .
6. P
RQ
S
In triangle PQR, if the base is PQ,
the height is .
182
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Chapter 6 Lesson 6.2
Name the height for the given base of each triangle.
P
SRQ
In triangle PQR, if the base is QR,
the height is .PS
Example
7. A
BD
C
In triangle ABC, if the base is AB,
the height is .
8.
M
N
O
L
In triangle LMN, if the base is LN,
the height is .
9.
A
D
C
B
In triangle ABC, if the base is AC,
the height is .
183Reteach 5A
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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
ExampleE
HGF
10. E
F G
In triangle EFG, if the height is EF,
the base is .
11. J
M
LK
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 .
184
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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.
RS Q
P In triangle PQR, if the height is PS,
the base is .
14. W
ZYX
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 .
185Reteach 5A
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Complete.
16. In triangle ABC,
A
Y
ZX
CB
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 TriangleFind the area of each rectangle.
1. 5 cm
7 cm
Length 5 cm
Width 5 cm
Area 5
5 cm2
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 is given. Find the area of rectangle ABCD.
A
D
B
C
The area of rectangle ABCD is double the area of triangle ABD.
Area of the triangle 5 8 cm2
Area of the rectangle 5 2 8
5 cm2
Example
16
3. Area of the triangle 5 28 m2
Area of the rectangle 5
5 m2
4. Area of the triangle 5 12 ft2
Area of the rectangle 5
5 ft2
5. Area of the triangle 5 16 in.2
Area of the rectangle 5
5 in.2
188
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Chapter 6 Lesson 6.3
Find the area of each shaded triangle.
6. 8 yd
3 yd
A
D C
B
Area of rectangle ABCD 5
5 yd2
Area of triangle ACD 5 1 _ 2
5 yd2
7. 4 m
9 m
BA
D C
Area of rectangle ABCD 5
5 m2
Area of triangle BCD 5 1 _ 2
5 m2
The area of the shaded triangle is half the area of the rectangle.
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Find the area of each shaded triangle.
Example
5 cm
12 cmB
A
C
Base 5 cm
Height 5 cm
Area of triangle ABC 5 1 _ 2
5 cm2
12
30
5
12 5
Area of a triangle 5 1 _ 2 base height
8.
6 in.
2 in.
A
CD
Base 5 in.
Height 5 in.
Area of triangle ACD 5 1 _ 2
5 in.2
190
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Chapter 6 Lesson 6.3
Find the area of the shaded triangle.
9.
16 cm7 cm
C
B
A
Base 5 cm
Height 5 cm
Area of triangle ABC 5 1 _ 2
5 cm2
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. Find the area of triangle ABC.
CB
X Z
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. Find the area of triangle 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
