Area Method Geometry Worksheet With Answers Page 3
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1450 MATHCOUNTS LECTURES
(34) AREA METHOD
Therefore, the ratio of the area of triangle ABC to the area of
triangle DEF is 1/7.
Example 1: Triangle ABC has an area of 175 square units. Point D lies on side AB such
that AD : DB = 4 : 3. What is the area, in square units, of triangle ACD? (2010
Mathcopunts Handbook).
Solution: 100.
Since triangle ABC and triangle ACD share the same height, we
S
AB
AD
DB
DB
3
7
ACB
have:
1
1
S
AD
AD
AD
4
4
ACD
4
4
S
S
175
4
25
100
ACD
ABC
7
7
，
Example 2: As shown in the figure, BC = CE
AD = CD. Find the ratio
of the area triangle ABC to the area of triangle CDE.
Solution: 2:1.
Connect BD. ABD and BDC have the same area.
BDC and CDE have the same area.
The ratio is then 2:1.
Example 3: Two squares with the side lengths of 10 cm and 12 cm, respectively. Find the
shaded area.
Solution: 50.
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