45. A carpenter has 24 triangular sheets of wood flooring, each a right triangle with dimensions in feet, as shown below. What is the maximum length, in feet, of a rectangular floor 12 feet wide that can be completely covered with these 24 sheets of flooring?

Answer and Explanation

Your Answer is

Correct Answer is B

Explanation

In order to ensure the longest length, the right-angled side with a length of 7.5 should be used as the long side, and the right-angled side with a length of 4 should be used as the width. And because the width of the carpet is 12, 6 triangles are needed to satisfy it. There are 24 triangles in total, 6 in each column, so there are 4 columns in total, so the length is 7.5×4=30. Choose B.