Trapezoid

Geometry Level 3

A B C D ABCD is an isosceles trapezoid with A B AB as its longest side and O O divides the diagonals A C AC and B D BD in the ratio 1 : 2 1:2 . What is the area of A B C D ABCD if the area of B O C BOC is 2 m 2 2 m^{2} ?


The answer is 9.

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1 solution

a r e a ( B O A ) = 4 m 2 area(BOA) = 4 m^2

a r e a ( B O C ) = 2 m 2 area(BOC) = 2 m^2

a r e a ( A O D ) = 2 m 2 area(AOD) = 2 m^2

a r e a ( C O D ) = 1 m 2 area(COD) = 1 m^2

Sum = 9 m 2 9m^2

How did you get the areas of BOA and COD?

Jarif Ahmed - 1 year, 4 months ago

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