over lesson 11–5 a.a b.b c.c d.d 5-minute check 1 find the measure of all angles. over lesson 11-4...
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Over Lesson 11–5
A. A
B. B
C. C
D. D
Find the measure of all angles.
Over Lesson 11-4
141 3x
54 2x
You found the area of rectangles. (PSSA Survivor)
• Find areas of parallelograms and triangles.
• Find areas of trapezoids.
• base
• altitude
The base of a parallelogram or a triangle is any side of the figure from which we measure the height. The bases of a trapezoid are the parallel sides.
A line segment that is perpendicular to the base of a figure with endpoints on the base and the side opposite that base. Often called the height.
Find Areas of Parallelograms
A. Find the area of the parallelogram.
The base is 3 meters.
The height is 3 meters.
A = bh Area of a parallelogram
A = 3 ● 3 Replace b with 3 and h with 3.
A = 9 Multiply.
Answer: The area is 9 square meters.
Find Areas of Parallelograms
B. Find the area of the parallelogram.
Estimate A = 4 × 6 or 24
The base is 4.3 inches.
The height is 6.2 inches.
A = bh Area of a parallelogram
A = 4.3 ● 6.2 Replace b with 4.3 and h with 6.2.
A = 26.66 Multiply.
Answer: The area is 26.66 square inches. This is close to the estimate.
A. A
B. B
C. C
D. D
A. 6 cm2
B. 7 cm2
C. 12 cm2
D. 14 cm2
A. Find the area of the parallelogram.
A. A
B. B
C. C
D. D
A. 0.975 ft2
B. 1.95 ft2
C. 2.8 ft2
D. 5.6 ft2
B. Find the area of the parallelogram.
Find Areas of Triangles
A. Find the area of the triangle.
Answer: The area of the triangle is 6 square meters.
The base is 3 meters.
The height is 4 meters.
Area of a triangle
Replace b with 3 and h with 4.
Multiply 3 × 4 = 12.
Simplify.
Find Areas of Triangles
B. Find the area of the triangle.
The base is 3.9 feet.
The height is 6.4 feet.
Area of a triangle
Replace b with 3.9 and h with 6.4.
Estimate
Find Areas of Triangles
Answer: The area of the triangle is 12.48 square feet.
Multiply 3.9 × 6.4.
Simplify.
Check 12.48 ≈ 12
A. A
B. B
C. C
D. D
A. 180 in2
B. 90 in2
C. 27 in2
D. 13.5 in2
A. Find the area of the triangle.
A. A
B. B
C. C
D. D A B C D
0% 0%0%0%
A. 4.4 cm2
B. 8.8 cm2
C. 9.36 cm2
D. 18.72 cm2
B. Find the area of the triangle.
Find Areas of Trapezoids
PLAYROOM The floor of a playroom is shaped like a trapezoid. Use the figure to find the area of the playroom.
Estimate
Find Areas of Trapezoids
Area of a trapezoid
Simplify inside parentheses.
Find Areas of Trapezoids
Simplify.
Answer: The area of the trapezoid is square meters.
Divide out the common factors.
Check
A. A
B. B
C. C
D. D
A. 20 ft2
B. 30 ft2
C. 40 ft2
D. 60 ft2
Find the area of the trapezoid.