2020 · Q94
ABCD is a trapezium, where AB is parallel to DC. If AB = 4 cm, BC = 3 cm, CD = 7 cm and DA = 2 cm, then what is the area of the trapezium?
Elementary MathematicsQuadrilaterals and Polygons
- A22√(2/3) cm²
- B22√(3/2) cm²
- C22√3 cm²
- D22√2/3 cm²
Explanation
Let the height be h: √(4 − h²) + √(9 − h²) = 3 (the projections of the two legs on the 3 cm base). Solving gives h² = 32/9, h = 4√2/3. Area = ½ × 11 × 4√2/3 = 22√2/3.