What is the area of a trapezium whose parallel sides are 6 cm and 4 cm long, and the distance between them is 10 cm?
A. 25 cm²
B. 30 cm²
C. 50 cm²
D. 60 cm²
Correct Answer: C (50 cm²)
Explanation:
The area of a trapezium can be calculated using the formula:
Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them)
where a and b are the lengths of the parallel sides and h is the distance between them.
The formula to calculate the area of a trapezium is:
Area = 1/2 (a + b) x h
where a and b are the parallel sides of the trapezium and h is the height (or the perpendicular distance between the parallel sides).
In this case, a = 6 cm, b = 4 cm and h = 10 cm. Substituting these values in the formula, we get:
Area = (1/2) x (6 + 4) x 10
Area = (1/2) x 10 x 10
Area = 50 cm²
So the correct answer is D (50 cm²).