Parallelogram Area Problems

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📐 Part 1: Finding Area

1. A parallelogram has a base of 8 inches and a height of 5 inches. What is its area?

Area = _______ square inches

2. Calculate the area of a parallelogram with base = 12 feet and height = 7 feet.

Area = _______ square feet

3. A garden shaped like a parallelogram has a base of 15 feet and a perpendicular height of 9 feet. How much area does the garden cover?

Area = _______ square feet

4. Which measurement represents the HEIGHT of a parallelogram?

The slanted side length

The perpendicular distance from base to top

The longest side of the shape

Half the perimeter

🔍 Part 2: Finding Missing Dimensions

5. A parallelogram has an area of 72 square inches and a base of 9 inches. What is the height?

Height = _______ inches

6. The area of a parallelogram is 84 square feet and the height is 6 feet. Find the base.

Base = _______ feet

7. A parking lot shaped like a parallelogram covers 240 square yards. If the base is 20 yards, what is the height?

Height = _______ yards

8. Complete the formula for finding missing dimensions:

If Area = base × height, then:

height = _________ ÷ _________

base = _________ ÷ _________

💭 Part 3: Problem Solving & Reasoning

9. Create your own parallelogram word problem that requires finding a missing dimension. Include the area and one other measurement.

10. Explain in your own words: Why do we use the perpendicular height instead of the slanted side when calculating area?

11. A farmer has two parallelogram fields. Field A has base = 25 feet and height = 8 feet. Field B has base = 20 feet and height = 10 feet. Which field has more area? Show your work.

Field _____ has more area.

Parallelogram Area Problems

Parallelogram Area Problems

📐 Part 1: Finding Area

🔍 Part 2: Finding Missing Dimensions

💭 Part 3: Problem Solving & Reasoning

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