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Calculate the area of this trapezium - OCR - GCSE Maths - Question 2 - 2021 - Paper 1
Question 2
Calculate the area of this trapezium. 8.7 cm Not to scale 12.3 cm 6.8 cm
Worked Solution & Example Answer:Calculate the area of this trapezium - OCR - GCSE Maths - Question 2 - 2021 - Paper 1
Step 1
Calculate the area of the trapezium
Answer
To find the area of a trapezium, we use the formula:
ext{Area} = rac{1}{2} imes (a + b) imes hwhere:
- and are the lengths of the two parallel sides,
- is the height.
In this case:
- (top side),
- (bottom side),
- .
Substituting these values into the formula gives:
ext{Area} = rac{1}{2} imes (12.3 + 8.7) imes 6.8Calculating:
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.