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In the figure shown below, the blue line is 8 units long and the red line is 12 units long. Find the area of the square in square units.

 

 Jan 9, 2021
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In the small circle we can use the intercepting chords theorem

 

S = side of square

 

(S/2 - 8)^2    =  (S/2 - 12) (S/2)

 

S^2 / 4  - 8S  + 64   =  S^2/4  - 6S

 

64  =   2S

 

S  = 32

 

Area  =S^2  =  1024

 

 

cool cool cool

 Jan 9, 2021
edited by CPhill  Jan 9, 2021
edited by CPhill  Jan 9, 2021

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