The answer is 
The second side of a triangular deck is 5 feet longer than the shortest side and a third side that is 5 feet shorter than twice
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We have been given that
The length of the tile is given by 1/3 feet.
The width of the tile is given by 1/3 feet.
The length of the board is given by 1/4 yd.
The width of the board is given by 1/4 yd.
We know that 1 feet = 0.33 yard
Hence, we have
The length of the tile = yd
The width of the tile = yd
Hence, the ratio of length of the tile to the length of the board is given by
Area of tile = square yd.
Area of board is
Therefore, the ratio of the area of the tile to the area of the board is given by
ANSWER
(C)38.16
EXPLANATION
The acute angle given in the right triangle is 27°.
The side length adjacent to the 27° angle is 34 units.
The side length we want to find is x units, which is the hypotenuse of the right triangle.
We use the cosine ratio to obtain:
Solve for x,
to the nearest hundredth.