2022 · Q84
Two parallel sides of a trapezium are 29 cm and 21 cm. Non-parallel sides are equal and each is of length 8.5 cm. What is the area of the trapezium?
Elementary MathematicsQuadrilaterals and Polygons
- A187.5 square cm
- B227.5 square cm
- C375 square cm
- D455 square cm
Explanation
The trapezium is isosceles with horizontal projection (29−21)/2 = 4 cm; height = √(8.5²−4²) = 7.5 cm. Area = (29+21)/2 × 7.5 = 187.5 sq cm. The keyed option is A.