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Finding the Area of a Trapezoid Using Two Methods

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A.) Determine the area of the trapezoid shown by finding the area of the three parts indicated and finding the sum of the three areas.

10 in
/ . . .
sqrt 45 in / . . .
/__ .___________.___.

[5 in]
[ 21 in ]

(the square has all 90 degree angles, and the trapizod is equally proportioned on both sides)

b.) Determine the area of the tapezoid

c.) Compare you answers from parts a) and b), are they the same? why or why no?

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Solution Preview

Height = h is given by,

45 = h^2 + 5^2 ==> h = sqrt(20) = 2sqrt(5)

a) ...

Solution Summary

The area of trapezoid is found using two methods. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.