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The area of a rectangle is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the rectangular field ?

  • A.17 meter
  • B.23 meter
  • C.20 meter
  • D.25 meter

Answer: C

Express the length in terms of the breadth and substitute.

\[ l = 1.15b \quad\Longrightarrow\quad 1.15b \times b = 460 \]

\[ b^{2} = \frac{460}{1.15} = 400 \quad\Longrightarrow\quad b = 20 \text{ m} \]

The length is then \( 1.15 \times 20 = 23 \) m - offered as a distractor for anyone who solves for the wrong side. Checking: \( 23 \times 20 = 460 \) m².

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