Entry Exam Category: College Admission Exams
Course: Texas Success Initiative Assessment 2.0
Exam: TSIA2 Math Practice Test
Practice Question
Extract
Choose the best answer. If necessary, use the paper you were given.
The expressions x - 2 and x + 3 represent the length and width of a rectangle, respectively. If the area of the rectangle is 24, what is the perimeter of the rectangle?
Answer Choices
- A: 20
- B: 22
- C: 24
- D: 28
Correct Answer: B
Rationale: Set up equation (x–2)(x+3)=24, expanded to x²+x–30=0, factored as (x+6)(x–5)=0. Chose x=5 since x can’t be negative. Length=3, width=8, so perimeter = 2×(3+8) = 22.