Calculate the area of this trapezium - OCR - GCSE Maths - Question 2 - 2021 - Paper 1

To find the area of a trapezium, we use the formula:

ext{Area} = rac{1}{2} imes (a + b) imes h

where:

• $a$ and $b$ are the lengths of the two parallel sides,
• $h$ is the height.

In this case:

• $a = 12.3 ext{ cm}$ (top side),
• $b = 8.7 ext{ cm}$ (bottom side),
• $h = 6.8 ext{ cm}$.

Substituting these values into the formula gives:

ext{Area} = rac{1}{2} imes (12.3 + 8.7) imes 6.8

Calculating:

ext{Area} = rac{1}{2} imes 21 imes 6.8 = 10.5 imes 6.8 = 71.4 ext{ cm}^2

Thus, the area of the trapezium is 71.4 cm².