2022 · Q73
ABCD is a trapezium in which AB is parallel to DC. Let E and F be the midpoints on AD and BC respectively. If EF = 10 cm and AB - DC = 4 cm, then what is the value of AB × DC?
Elementary MathematicsQuadrilaterals and Polygons
- A84 square cm
- B96 square cm
- C100 square cm
- D108 square cm
Explanation
The midline EF = (AB+DC)/2 = 10 with AB-DC = 4 gives AB = 12, DC = 8; their product is 96. Hence the keyed option is B.