JAMB Mathematics 1981 Question 34

Question 34

Quadratic Equations

The difference between the length and width of a rectangle is 6cm and the area is 135cm2. What is the length?

  1. A.25cm
  2. B.18cm
  3. C.15cm
  4. D.24cm
  5. E.27cm.
Show the answer and explanation

Answer: C (15cm)

Explanation

With width B, B(B + 6) = 135, so B² + 6B − 135 = 0 and B = 9. The length is 9 + 6 = 15cm.