Question 196718: In the accompanying figure, ABCD is a rectangle, E is a point on AB, DE=13, AE=5and DC=20.
a. Find AD.
b. Find the perimeter of trapezoid EBCD.
c. Find the area of triangle AED.
d. Find the area of rectangle ABCD.
e. Find the area of trapezoid EBCD.
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! A rough sketch helps,,,label as answer arise
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ADE is a rt triangle,,with AE = 5,,,DE =13,,,given
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using pythagorous theorem,,c^2 = a^2 +b^2.
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13 ^2 = 5^2 + ad^2,,,,ad = 12 ,,,,,,,(a)
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CB =AD =12,,,,,,and DC=AB =20,,,,,given,,, therefore BE =15 (Ab - AE = BE)
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Per EBCD = 15 +12 +20+13 = 60,,,,,, (b)
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Area (AED) = 1/2 * 5 * 12 = 30,,,,,,(c)
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Area (ABCD) = 20 *12 +240,,,,,(d)
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Area(EBCD) = 1/2 *(15 +20) *12 = 210
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