3. A trapezium PQRS has two right angles at P and S.
Measurement in centimeters are given as shown in
the figure. Find the area of the trapezium.
20 cm
15 cm
12 çm
P
29 cm
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The area of the trapezium is 240cm² + 54cm² = 294cm².
Draw a line from R to PQ meeting PQ at point T
From the figure, we can infer that SP and RT are parallel.
SP=RT=12cm
SR=PT=20cm
Therefore, TQ=9cm
Area of trapezium = Area of rectangle + Area of triangle
Area of rectangle = Length × Breadth = 12 × 20 = 240cm²
Area of triangle = 1/2 × base × height = 1/2 × TQ × RT
Area = 1/2 ×9 ×12 = 54cm²
Therefore, area of trapezium = 240cm² + 54cm² = 294cm²
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Answer:
A trapezium PQRS has two right angles at P and S.
Measurement in centimeters are given as shown in
the figure. Find the area of the trapezium.
20 cm
15 cm
12 çm
P
29 cm
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