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A rectangular tile has a thin diagonal line drawn in its design. The longer dimension of the tile is 12 inches. The angle formed by the diagonal and the shorter side of the tile is 72°.

What is the perimeter of the tile?

 

Enter your answer, rounded to the nearest inch, in the box.

Hev123  Jun 6, 2018

Best Answer 

 #1
avatar+12561 
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Tan 72 = opp/adj = 12/adj      (adj is the shorter side)

12/tan 72 = adj = 3.899 in

 

Perimeter =  2 L + 2 W = 2(12) + 2(3.899) = ~32 inches

ElectricPavlov  Jun 7, 2018
edited by ElectricPavlov  Jun 7, 2018
 #1
avatar+12561 
+2
Best Answer

Tan 72 = opp/adj = 12/adj      (adj is the shorter side)

12/tan 72 = adj = 3.899 in

 

Perimeter =  2 L + 2 W = 2(12) + 2(3.899) = ~32 inches

ElectricPavlov  Jun 7, 2018
edited by ElectricPavlov  Jun 7, 2018

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