To find the area of a parallelogram, you use this simple formula:
Area = Base × Height
It is important to look for the "height" that goes straight up and down (perpendicular) from the base. Sometimes there are extra numbers on the slanted sides that you don't need. Let's solve each one step by step.
1. First Parallelogram
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Identify the Base: The bottom side is labeled
20 ft.
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Identify the Height: The dotted line showing the vertical height is labeled
10 ft. (Ignore the 12 ft on the slanted side; we don't need it).
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Calculate: $20 \times 10 = 200$
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Units: Since the lengths are in feet (ft), the area is in square feet ($ft^2$).
2. Second Parallelogram
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Identify the Base: Look at the bottom. It is split into two parts: 5 cm and 15 cm. To get the full base length, add them together: $5 + 15 = \mathbf{20 \text{ cm}}$.
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Identify the Height: The vertical dotted line is labeled
35 cm. (Ignore the 42 cm on the slanted side).
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Calculate: $20 \times 35$
* $2 \times 35 = 70$
* Add the zero back: $700$
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Units: Since the lengths are in centimeters (cm), the area is in square centimeters ($cm^2$).
3. Third Parallelogram
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Identify the Base: The bottom side is labeled
7 m.
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Identify the Height: The vertical dotted line is labeled
2 m. (Ignore the 3 m on the slanted side).
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Calculate: $7 \times 2 = 14$
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Units: Since the lengths are in meters (m), the area is in square meters ($m^2$).
Final Answer:
1. 200 sq ft
2. 700 sq cm
3. 14 sq m
Parent Tip: Review the logic above to help your child master the concept of parallelogram worksheet geometry.
