Concept explainers
The area enclosed within polygon ABDFGA.
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Answer to Problem 12.1P
The area enclosed within polygon ABDFGA is
Explanation of Solution
Given:
A closed polygon ABDFGA
Concept Used:
The formula for area of a triangle is
The formula for semi-perimeter of triangle is
Here,
The area of polygon ABDFGA can be calculated by considering smaller triangles which together form the polygon.
Calculation:
Consider the triangle DFG
Substitute
Substitute
Consider the triangle BDG
Substitute
Substitute
Consider the triangle ABG
Substitute
Substitute
Substitute
Conclusion:
The area enclosed within polygon ABDFGA is
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Chapter 12 Solutions
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