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

<span>The statement AB = AB is an example of the Transitive property
</span>
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.