Question

C

ABCD is a trapezium.
D
A
10 cm
7 cm
15 cm
Calculate the area of ABCD.
B
9 cm
C

Answer 1

To calculate the area of trapezium ABCD, you can use the formula for the area of a trapezium:

Area = (1/2) * (sum of the lengths of the parallel sides) * (height)

In this case, the sum of the lengths of the parallel sides is 15 cm (side AD) + 10 cm (side BC) = 25 cm. The height of the trapezium can be found as the perpendicular distance between side AD and side BC, which is 7 cm.

Now, plug these values into the formula:

Area = (1/2) * (25 cm) * (7 cm)

Area = (1/2) * 175 cm²

Area = 87.5 cm²

So, the area of trapezium ABCD is 87.5 square centimeters.

Explanation:

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