Area Method Geometry Worksheet With Answers Page 9
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1450 MATHCOUNTS LECTURES
(34) AREA METHOD
Problem 5. If BD = DC and the area of the triangle ABD is 8 square units, find the area of
triangle ABC. (Mathcounts Competitions).
Problem 6. If E is the midpoint of AD , what is the ratio of the area of triangle BED to
rectangle ABCD? (Mathcounts Handbooks)
Problem 7. What is the number of square centimeters in the area of a triangle whose sides
measure 8 cm, 15 cm, and 17 cm?
Problem 8. Given equilateral triangle ABC with sides of length 2. M, N and P are
midpoints of sides
BC
, AB
,
and
AC
,
respectively. If A is folded to M, B is folded to P, and
C is folded to N, what would the new area be of the folded region? (Mathcounts
Handbooks)
Problem 9. Find the ratio of the area of triangle ACE to the area of rectangle ABCD.
Express your answer as a common fraction.
(Mathcounts Competitions)
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