SOLUTION: One side of a polygon measures 10 units. If the measure of the corresponding side of a similar polygon is 6 units, find the ratio of their areas. What is the area of the larger po

Algebra ->  Polygons -> SOLUTION: One side of a polygon measures 10 units. If the measure of the corresponding side of a similar polygon is 6 units, find the ratio of their areas. What is the area of the larger po      Log On


   

Question 630016: One side of a polygon measures 10 units. If the measure of the corresponding side of a similar polygon is 6 units, find the ratio of their areas. What is the area of the larger polygon if the area of the smaller polygon is 12 square units?
Found 2 solutions by Alan3354, graphmatics:
Answer by Alan3354(69443) About Me  (Show Source):
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One side of a polygon measures 10 units. If the measure of the corresponding side of a similar polygon is 6 units, find the ratio of their areas.
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Area is a function of the square of the sides.
Side ratio of 10:6 = 5:3
Area ratio = 25:9
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What is the area of the larger polygon if the area of the smaller polygon is 12 square units?
25:9::Area:12
9*Area = 300
Area = 100/3 sq units

Answer by graphmatics(170) About Me  (Show Source):
You can put this solution on YOUR website!
The area of the 10 unit polygon is. +%2810%2A10%2AN%29%2F%284%2Atan%28180%2FN%29%29+. The area of the 6 unit polygon is +%286%2A6%2AN%29%2F%284%2Atan%28180%2FN%29%29+. . Let A be the area of the larger polygon then. A/12=2.77. A=12*2.77. A=33.24