There is a theorem in Geometry stating that the square of the tangent segment (ST) is equal to the product of the external secant segment (TR) and the whole secant segment (TQ).
SQ x SQ = TR x TQ
SQ squared = 7 x 30
SQ squared = 210
SQ =
The width
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There is a theorem in Geometry stating that the square of the tangent segment (ST) is equal to the product of the external secant segment (TR) and the whole secant segment (TQ).
SQ x SQ = TR x TQ
SQ squared = 7 x 30
SQ squared = 210
SQ =
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