Two squares, with lengths 4 cm and 6 cm respectively, are partially overlapped . What is the difference between shaded area of the small square and shaded area of the big square?

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hey, anyone there.
Ans: 16cm2, need an explanation from you guys for this.
it's 20cm2, not 16cm2.

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2015-01-23T21:37:10+05:30

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See the figure.

area of smaller square(area2+area3) = 4² = 16cm²
area of larger square(area1+area2) = 6² = 36cm²

the difference between shaded area of the small square and shaded area of the big square is (area1 - area3).Let it be A.

A = 
area1 - area3
   = area1 - area3 + (area2 - area2)
   = area1 + area2 - area2 - area3
   = (area1+area2) - (area2+area3)
   = 36cm² - 16 cm²
   = 20cm²
 
The difference is 20cm².
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