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The smaller square in the figure below has a perimeter of 4 cm, and the larger square has an area of  16 cm^2. What is the distance from point A to point B? Express your answer as a decimal to the nearest tenth.


 

 Nov 12, 2018
 #1
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The side of the smaller square  is  1 cm

The side of the larger square is 4 cm

 

Draw segment BC parallel to the bottom side of the figure

 

So....the distance  from B to C  =   1 + 4  = 5

And the distance from C to A  =  4 - 1  =  3

 

So....using the Pythagorean Theorem, we have

 

AB  =  sqrt  ( BC^2 + AC^2 ]   =   sqrt [ 5^2 + 3^2 ]  =  sqrt [ 34 ]  =

 

5.8 units

 

 

cool cool cool

 Nov 12, 2018

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