Question

question 3 of 10
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 12 inches in length and the bottom base is 16 inches. how long of a cut will john need to make so that he cuts the tiles along the median?
a. 28 inches
b. 4 inches
c. 14 inches
d. 2 inches

Explanation:

Step1: Recall trapezoid - median formula

The formula for the length of the median of a trapezoid is $m=\frac{a + b}{2}$, where $a$ is the top - base and $b$ is the bottom - base.

Step2: Identify values of $a$ and $b$

Here, $a = 12$ inches and $b = 16$ inches.

Step3: Calculate the median length

Substitute the values into the formula: $m=\frac{12 + 16}{2}=\frac{28}{2}=14$ inches.

Answer:

C. 14 inches