5.9. [ In the given figure, ABCD is a parallelogram and AE = EB. What is the ratio of the area of the parallelogram to the area of the triangle AEC? (B) 4:1 (C) 1:2 (D) 3:1 (A) 1:4 А B E
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and AE = EB. What is the ratio of the area of the parallelogram to the area of the triangle AEC? (B) 4:1 (C) 1:2 (D) 3:1 (A) 1:4 А B E
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Answer:
4:1
Step-by-step explanation:
Area of Parallelogram ABCD : Area of triangle AEC
Area of Parallelogram ABCB = AB×CF=bh
Area of triangle AEC = 1/2×1/2×b×h
= 1/4 bh
Area of Parallelogram ABCD : Area of triangle AEC
=bh:1/4:bh
=1:1/4
=4:1
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