Multiple choice

A rectangle has area of 120 sq. cm. When the length increases by 2 and the width decreases by 4, the new area is 84 sq. cm. Find the original length.

  1. 10 cm

  2. 12 cm

  3. 13 cm

  4. 15 cm

  5. None of these

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let l and w be the length and the width, respectively. lw = 120 And (l + 2)(w - 4) = 84 Substituting w = 120/l, we get (l + 2)(120 - 4l) = 84l Or l = 12 cm