Question

James wants to tile his floor using tiles in the shape of a trapezoid. To make the pattern a little more interesting he has decided to cut the tiles in half along the median. The top base of each tile is 13 inches in length and the bottom base is 19 inches. How long of a cut will John need to make so that he cuts the tiles along the median

Answer 1

16 inches because the median of 13 and 19 is 16

Answer 2

Explanation:

It is given that the tiles are of the shape of trapezoid and The top base of each tile is 13 inches in length and the bottom base is 19 inches.

Now, mid segment of the trapezoid s given as:

`m=(a+b)/(2)`

where a is the top base and b is the bottom base of the trapezoid. Thus, on substituting the given values, we get

`m=(13+19)/(2)`

`m=(32)/(2)`

`m=16inches`

Therefore, John will need 16 inches of a cut to make so that he cuts the tiles along the median.