Discussion

The breadth of a rectangular field is 60% of its length. If the perimeter of the field is 800 m,what is the area of the field?

Answer: B

Express the breadth in terms of the length and use the perimeter.

\[ b = 0.6l \quad\Longrightarrow\quad 2(l + 0.6l) = 800 \]

\[ 2(1.6l) = 800 \quad\Longrightarrow\quad l = 250 \text{ m} \]

\[ b = 0.6 \times 250 = 150 \text{ m} \]

\[ A = 250 \times 150 = 37{,}500 \text{ m}^{2} \]

Reading the 60% as applying to the length rather than the breadth reverses the two and halves the area to 18,750 - the first distractor.

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