Entry Exam Category: High School Equivalency Exams
Course: General Education Development (GED)
Exam: GED Math practice test
Practice Question
Tina Is designing a cabin. One of her plans for the cabin is a rectangle twice as long as it is wide, with 10 feet (ft) of the length reserved for the Kitchen and the bathroom. The diagram shows this basic plan. Tina wants the area of the main room to be 300 square feet. Which equation can be used to find x, the width, in feet, of the main room?
Answer Choices
- A: 2x^2 + 10x - 300 = 0
- B: 2x^2 - 10x - 300 = 0
- C: 2x^2 - 20x - 300 = 0
- D: 2x^2 + 20x - 300 = 0
Correct Answer: B
Rationale: The main room's length is 2x - 10 (total length 2x minus 10 for kitchen/bathroom), width is x, and area = 300. Thus, x(2x - 10) = 300, or 2x^2 - 10x - 300 = 0. The correct answer is 2x^2 - 10x - 300 = 0.