Question

Cyrus has a 24 inch strip of wooden molding from which he wants to make a triangular picture frame. Cyrus has come up with four possible plans for the frame. He must pick a plan before he can cut the molding. His plans are listed below. Plan I: three 8-inch pieces Plan II: two 7-inch pieces and one 10-inch piece Plan III: one of each piece 4 inches, 8 inches, and 12 inches Plan IV: one of each piece 6 inches, 8 inches, and 10 inches   Which of the following is a complete list of the plans that are not possible? Group of answer choices Plan I and III Plan III Plan I Plans II and IV

Answer 1

Answer:

  (b) Plan III

Step-by-step explanation:

You want to know which of plans I through IV do not result in pieces that will make a triangular frame.

Plans

Each of the plans results in three pieces of molding that have a total length of 24 inches. In order for them to form a triangular picture frame, their lengths must satisfy the triangle inequality: the sum of the two shorter lengths must exceed the longest length.

I. 8, 8, 8

8 + 8 = 16 > 8. This plan is possible.

II. 7, 7, 10

7 + 7 = 14 > 10. This plan is possible.

III. 4, 8, 12

4 +8 = 12 is not greater than 12. This plan is not possible.

IV. 6, 8, 10

6 + 8 = 14 > 10. This plan is possible.

The complete list of plans that are not possible is {Plan III}, choice B.