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The figure above shows three consecutive squares of sides 5, 4 and 3, respectively.

Find the area of the black region.

 

 Jun 22, 2020
 #1
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The figure above shows three consecutive squares of sides 5, 4 and 3, respectively.

Find the area of the black region.

 

Hello Guest!

 

\(A=5^2+4^2+3^2-\frac{(5+4+3)\cdot5}{2}\\ A=25+16+9+30\\\)

\(A=80\)

laugh  !

 Jun 22, 2020
 #2
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Nope, it cannot be 80!!! 

 

A = ( 52 + 42 + 32 ) - 1/2 ( 5 * 12 ) = 20 smiley

Dragan  Jun 23, 2020

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