SOLUTION: 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

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Question 1105120: 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?

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
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?
:
let w = the width of the tile
Use the tangent of 72 degrees to find w
tan(72) =
w =
w = 3.9 cm Is the width
P = 2(12) + 2(3.9}
p = 31.8 cm is the perimeter

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