Entry Exam Category: High School Equivalency Exams
Course: General Education Development (GED)
Exam: GED Math practice test
Practice Question
A figure is formed by shaded squares on a grid. Which figure has a perimeter of 12units and an area of 8 square units?
Answer Choices
- A: M-18A.png
- B: M-18B.png
- C: M-18C.png
- D: None of the above
Correct Answer: C
Rationale: Without the figures, consider a rectangle. Perimeter = 2(l + w) = 12, so l + w = 6. Area = l * w = 8. Solve: l = 6 - w, then w(6 - w) = 8, or w^2 - 6w + 8 = 0. Factor: (w - 2)(w - 4) = 0, so w = 2, l = 4 (or vice versa). Check: Perimeter = 2(4+2) = 12, Area = 4*2 = 8. This matches a typical figure in GED questions.