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?
A.84 square cm
B.100 square cm
C.108 square cm
D.96 square cm✓ Correct
Explanation
EF = (AB+DC)/2 = 10, so AB+DC=20. AB-DC=4, so AB=12, DC=8. AB×DC=96.
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