Question

question 1 of 10
james wants to tile his floor using tiles in the shape. 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 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?

Explanation:

Step1: Recall median formula for trapezoid

The formula for the length of the median of a trapezoid is $M=\frac{b_1 + b_2}{2}$, where $b_1$ is the top - base and $b_2$ is the bottom - base.

Step2: Identify given values

We are given that $b_1 = 15$ inches and $b_2=21$ inches.

Step3: Calculate the median length

Substitute the values into the formula: $M=\frac{15 + 21}{2}=\frac{36}{2}=18$ inches.

Answer:

D. 18 inches