SOLUTION: In rectangle ABCD, point E is the midpoint of the line segment BC. If the area of the quadrilateral ABED is 2/3, what is the area of rectangle ABCD?
The answer is 8/9, but I do
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The answer is 8/9, but I do
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Question 464979: In rectangle ABCD, point E is the midpoint of the line segment BC. If the area of the quadrilateral ABED is 2/3, what is the area of rectangle ABCD?
The answer is 8/9, but I do not know how to get that answer. Can you help? Answer by robertb(5830) (Show Source):
You can put this solution on YOUR website! Quadrilateral ABED is actually a trapezoid.
Let h be the height of the rectangle, and l, its length.
Now trapezoid ABED has height h also. One of its parallel sides, BE, has length l/2 (since BE is half of BC). The other parallel side has length l. Hence the area is
==> , and hl gives exactly the area of the rectangle ABCD.
