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

Find the area of the black region.

 

 Jan 9, 2020

Best Answer 

 #1
avatar+20217 
+3

The total area of the 5 inch  square would be   5 x 5= 25 units^2

a 4 x5 rectangle would be 20

a 3x5 rectangle would be 15      total  60

1/2 of this (due to the diagonal would be  30

Subtract the white rectangular areas above the 4 and 3 inch squares

  30     - 4x1     - 3 x2  =   30 - 10 = 20 sq units

 Jan 9, 2020
edited by ElectricPavlov  Jan 9, 2020
 #1
avatar+20217 
+3
Best Answer

The total area of the 5 inch  square would be   5 x 5= 25 units^2

a 4 x5 rectangle would be 20

a 3x5 rectangle would be 15      total  60

1/2 of this (due to the diagonal would be  30

Subtract the white rectangular areas above the 4 and 3 inch squares

  30     - 4x1     - 3 x2  =   30 - 10 = 20 sq units

ElectricPavlov Jan 9, 2020
edited by ElectricPavlov  Jan 9, 2020

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