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1. The length of a rectangle is 1 inch more than 2 times its width. The area of the reatangle is 36 square inches. What is the length of the rectangle?

  • A. 4 inches
  • B. 4 inches
  • C. 4 inches
  • D. 4 inches

Answer: Option C

Explanation:

Let the width be W.

Then, Length = 2W + 1

Now, area,  (2W + 1)×W = 36

or, 2W2  + W = 36

or, 2W2  + W - 36 = 0

or, 2W2  + 9W - 8W - 36 = 0

or, W(2W + 9) - 4(2W + 9) = 0

or, (2W + 9)(W - 4) = 0

or, W - 4 = 0 [2W + 9≠0]

or, W = 4

So, length, 2W + 1 = 2×4 + 1 =  9 inches

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