PRC-2 · Chapter 1 · Question 11 of 45
A rectangular plot has a length that is 4 meters greater than its width. If the total area is 96 square meters, which of the following quadratic equations represents this scenario where 'w' is the width?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: B) w^2 + 4w - 96 = 0
Explanation
The length is (w + 4). The area is w(w + 4) = 96, which expands to w^2 + 4w = 96. Rearranging this yields the quadratic equation w^2 + 4w - 96 = 0.
More Linear And Quadratic Equations MCQs
- Q13Solve the following linear equation for x: 3(x - 2) + 4 = 13.
- Q14In the expression 5x^2 + 8x - 3, what are the distinct components separated by the mathematical operation symbols called?
- Q15How many possible values (roots) does a standard quadratic equation of the form ax^2 + bx + c = 0 typically have?
- Q16The product of two positive integers is 45 and when added together the result is 14. Find the integers.
- Q17Solve the following equation for the value of x: 10x - (200 / x) = 10.