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8.5

8.5. ESSENTIAL QUESTION: How do you find the area of parallelograms?. VOCABULARY. Either pair of parallel sides of a parallelogram are called the bases of the parallelogram. VOCABULARY. Either pair of parallel sides of a parallelogram are called the bases of the parallelogram .

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8.5

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  1. 8.5 ESSENTIAL QUESTION: How do you find the area of parallelograms?

  2. VOCABULARY • Either pair of parallel sides of a parallelogram are called the bases of the parallelogram.

  3. VOCABULARY • Either pair of parallel sides of a parallelogram are called the bases of the parallelogram. • The shortest distance between the bases of a parallelogram is called the height of a parallelogram.

  4. Area of a Parallelogram

  5. SOLUTION Use the formula for the area of a parallelogram. Substitute 9 for band 6 for h. A = bh Formula for the area of a parallelogram =(9)(6) Substitute 9 for b and 6 for h. =54 Multiply. The parallelogram has an area of 54 square meters. ANSWER Example 1 Find the Area of a Parallelogram Find the area of the parallelogram.

  6. A =bh Formula for the area of a parallelogram 78=12h Substitute 78 for A and 12 for b. 6.5 =h Divide each side by 12. The parallelogram has a height of 6.5 feet. ANSWER Example 2 Find the Height of a Parallelogram Find the height of the parallelogram given that its area is 78 square feet. SOLUTION

  7. Checkpoint 1. 96 yd2 ANSWER 2. 77 mm2 ANSWER 3. 196 ft2 ANSWER Area of Parallelograms Find the area of the parallelogram.

  8. Checkpoint 1. 96 yd2 ANSWER 2. 77 mm2 ANSWER 3. 196 ft2 ANSWER Area of Parallelograms Find the area of the parallelogram.

  9. Checkpoint 4. A = 72 in.2 A = 30 m2 5. 6. A = 28 cm2 Area of Parallelograms In Exercises 4–6, Agives the area of the parallelogram. Find the missing measure.

  10. Checkpoint 4. A = 72 in.2 h =6 in. ANSWER A = 30 m2 5. b =6 m ANSWER 6. A = 28 cm2 h =4 cm ANSWER Area of Parallelograms In Exercises 4–6, Agives the area of the parallelogram. Find the missing measure.

  11. Area of a Rhombus

  12. Find the area of the rhombus. b. a. 1 1 1 1 1 2 2 2 2 2 Example 3 Find the Area of a Rhombus SOLUTION SOLUTION a. b. A=d1d2 A=d1d2 = (6 + 6)(9 + 9) = (14)(10) = (12)(18) = 70 =108 The area of the rhombus is 70 square inches. The area of the rhombus is 108 square inches.

  13. 49in.2 168 m2 ANSWER ANSWER Find the area of the triangle. 1. 2.

  14. h =10 ft b =9 cm 8ft ANSWER ANSWER ANSWER In Exercises 3 and 4, A gives the area of the triangle. Find the missing measure. 3. A =65 ft2 4. A =27 cm2 5. A triangular sail of a boat has a base 5 feet long and the sail has an area of 20 square feet. What is the height of the sail?

  15. Worksheet 8.5A

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