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Five-Minute Check (over Lesson 11–1)
CCSS
Then/Now
New Vocabulary
Key Concept: Area of a Trapezoid
Example 1: Real-World Example: Area of a Trapezoid
Example 2: Standardized Test Example: Area of a Trapezoid
Key Concept: Area of a Rhumbus or Kite
Example 3: Area of a Rhombus and a Kite
Example 4: Use Area to Find Missing Measures
Concept Summary: Areas of Polygons
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Over Lesson 11–1
(1-2) Find the perimeter of the figure. (3-4) Find
the area. Round to the nearest tenth if necessary.
Over Lesson 11–1
Find the perimeter of the figure. Round
to the nearest tenth if necessary.
A. 48 cm
B. 56 cm
C. 101.1 cm
D. 110 cm
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Over Lesson 11–1
Find the perimeter of the figure. Round
to the nearest tenth if necessary.
A. 37.9 ft
B. 40 ft
C. 43.9 ft
D. 45 ft
Over Lesson 11–1
Find the area of the figure. Round
to the nearest tenth if necessary.
A. 58 in2
B. 83 in2
C. 171.5 in2
D. 180 in2
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Over Lesson 11–1
Find the area of the figure. Round
to the nearest tenth if necessary.
A. 9.0 m2
B. 62 m2
C. 5 m2
D. 3.4 m2
Over Lesson 11–1
Find the height and base of
the parallelogram if the area is
168 square units.
A. 11 units; 13 units
B. 12 units; 14 units
C. 13 units; 15 units
D. 14 units; 16 units
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Over Lesson 11–1
The area of an obtuse triangle is 52.92 square
centimeters. The base of the triangle is 12.6
centimeters. What is the height of the triangle?
A. 2.1 centimeters
B. 4.2 centimeters
C. 8.4 centimeters
D. 16.8 centimeters
Content Standards
G.MG.3 Apply geometric methods to solve
problems (e.g., designing an object or
structure to satisfy physical constraints or
minimize cost; working with typographic grid
systems based on ratios).
Mathematical Practices
1 Make sense of problems and persevere in
solving them.
7 Look for and make use of structure.
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You found areas of triangles and
parallelograms.
• Find areas of trapezoids.
• Find areas of rhombi and kites.
• height of a trapezoid
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Area of a Trapezoid
SHAVING Find the area of steel used to make the
side of the razor blade shown below.
Answer: A = 2.75 cm2
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Find the area of the side of the pool outlined below.
A. 288 ft2
B. 295.5 ft2
C. 302.5 ft2
D. 310 ft2
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Area of a Rhombus and a Kite
A. Find the area of the kite.
Answer: 42 ft2
Area of a Rhombus and a Kite
B. Find the area of the rhombus.
1
27 29
2
1
= 14 18
2
= 126 =
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A. Find the area of the kite.
A. 48.75 ft2
B. 58.5 ft2
C. 75.25 ft2
D. 117 ft2
B. Find the area of the rhombus.
A. 45 in2
B. 90 in2
C. 180 in2
D. 360 in2
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Use Area to Find Missing Measures
ALGEBRA One diagonal of a rhombus is half as
long as the other diagonal. If the area of the
rhombus is 64 square inches, what are the lengths
of the diagonals?
Let = and = 2
1
2 = 64
2
= 64
So = 8 and = 2 8 = 16
Answer: RT = 8 and SU = 16
= ±8
(Reject negative)
Trapezoid QRST has an area of 210 square yards.
Find the height of QRST.
A. 3 yd
B. 6 yd
C. 2.1 yd
D. 7 yd
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Manuel designed a deck shaped like the trapezoid
below. Find the area of the deck.
A. 60 ft2
5 ft
4 ft
B. 30 ft2
9 ft
C. 40.5 ft2
D. 36 ft2
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