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As shown in the diagram, a rectangular piece of paper ABCD was folded along CP where P is located one-third of the way from A to B. We know the total area covered by the folded paper is 213 square inches with a 75 square inch overlapping area. Find the area of triangle B' C Q in square inches.

 May 13, 2021
 #1
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+1

There is no diagram

 May 13, 2021
 #2
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+1

Here's a diagram.

 May 14, 2021
 #3
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+5

As shown in the diagram, a rectangular piece of paper ABCD was folded along CP where P is located one-third of the way from A to B. We know the total area covered by the folded paper is 213 square inches with a 75 square inch overlapping area. Find the area of triangle B'CQ in square inches.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[APCB'QD] = 213 in2

 

[CQP] = 75 in2

 

[PRQ] = [B'CQ]

 

[ADRP] = [B'CP]

 

[B'CQ] = 1/3(213 - 150) = 21 in2

 

 May 14, 2021
edited by civonamzuk  May 14, 2021
 #4
avatar+1510 
+3

[ADSP] = [CB'P]

 

[SRP] = [PRQ] = [B'CQ]

 

civonamzuk  May 14, 2021

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