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James wants to tile his floor while 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 tilt is 15 inches in length and the bottom base is 21 inches. How long of a cut will John need to make so that he cuts the tiles along the median?


A:18 inches
B:3 inches
C:36 inches
D:6 inches

Respuesta :

the answer is A. 18 inches

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Answer

A:18 inches

Explanation

To solve this, we just need to find the length of the median of the trapezoidal tiles. Remember that the length of the median of a trapezoid is half the sum of the length of the bases.

We know from our problem that the bases of our trapezoid are 15 inches and 21 inches long, so the median of our trapezoid is:

[tex]Median=\frac{15in+21in}{2}[/tex]

[tex]Median=\frac{36in}{2}[/tex]

[tex]Median=18in[/tex]

We can conclude that John will need to cut 18 inches so he cuts the tiles along the median.

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