Question

Marisol is making a rectangular wooden frame. She wants the length of the frame to be no more than 12 inches. She has less than 30 inches of wood to use. Select the system of inequalities that represents the possible length, l, and the possible width, w, that her frame could have. A. l ≤ 12. 2l + 2w < 30 B. l > 12. 2l + 2w < 30 C. l ≤ 12. l + w < 30 D. l > 12. l + w < 30

Answer 1

The perimeter of a rectangle is
2l + 2w
This has to be less than 30 because she has less than 30 inches of wood altogether.
The length must also be "no more than", which means less than or equal to, 12 inches.
Option A satisfies both of these conditions.