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A trapezium has bases of lengths 10 cm and 6 cm, and a height of 4 cm. What is t
A trapezium has bases of lengths 10 cm and 6 cm, and a height of 4 cm. What is the area of the trapezium?
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Q1
A trapezium has bases of lengths 10 cm and 6 cm, and a height of 4 cm. What is the area of the trapezium?
32 cm²
40 cm²
36 cm²
28 cm²
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Area of a trapezium = (1/2) × (base1 + base2) × height = (1/2) × (10 + 6) × 4 = 32 cm².
Questions & Step-by-step Solutions
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Q
Q: A trapezium has bases of lengths 10 cm and 6 cm, and a height of 4 cm. What is the area of the trapezium?
Solution:
Area of a trapezium = (1/2) × (base1 + base2) × height = (1/2) × (10 + 6) × 4 = 32 cm².
Steps: 8
Show Steps
Step 1: Identify the lengths of the two bases of the trapezium. Base 1 is 10 cm and Base 2 is 6 cm.
Step 2: Identify the height of the trapezium, which is 4 cm.
Step 3: Use the formula for the area of a trapezium: Area = (1/2) × (base1 + base2) × height.
Step 4: Substitute the values into the formula: Area = (1/2) × (10 + 6) × 4.
Step 5: Calculate the sum of the bases: 10 + 6 = 16.
Step 6: Multiply the sum of the bases by the height: 16 × 4 = 64.
Step 7: Divide the result by 2: 64 ÷ 2 = 32.
Step 8: The area of the trapezium is 32 cm².
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