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Calculate the area of the trapezium with parallel sides 7 cm and 21 cm, and a height of 14 cm.

Mathematics

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Answer

196 cm2\text{196 cm}^2

Step 1: Calculate the area of the trapezium (Question 18).
The formula for the area of a trapezium is given by:

Area=12(a+b)h\text{Area} = \frac{1}{2}(a+b)h

where aa and bb are the lengths of the parallel sides, and hh is the perpendicular height.
From the image, we have:
a=7 cma = 7 \text{ cm}
b=21 cmb = 21 \text{ cm}
h=14 cmh = 14 \text{ cm}

Substitute these values into the formula:

Area=12(7 cm+21 cm)(14 cm)\text{Area} = \frac{1}{2}(7 \text{ cm} + 21 \text{ cm})(14 \text{ cm}) Area=12(28 cm)(14 cm)\text{Area} = \frac{1}{2}(28 \text{ cm})(14 \text{ cm}) Area=(14 cm)(14 cm)\text{Area} = (14 \text{ cm})(14 \text{ cm}) Area=196 cm2\text{Area} = \boxed{\text{196 cm}^2}
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