Discussion
A rectangular margin has a length of 48 cm and an area of 840 sq. cm. Its area becomes \( 2\tfrac{6}{7} \) times the original when the breadth alone is increased. What is the perimeter of the enlarged rectangle?
Answer: C
Find the original breadth, then the new one.
\[ b = \frac{840}{48} = 17.5 \text{ cm} \]
\[ A_{\text{new}} = 840 \times 2\tfrac{6}{7} = 840 \times \frac{20}{7} = 2400 \text{ cm}^{2} \]
The length is unchanged, so
\[ b_{\text{new}} = \frac{2400}{48} = 50 \text{ cm} \]
\[ \text{perimeter} = 2(48 + 50) = 196 \text{ cm} = 1.96 \text{ m} \]
The answer is offered in metres, so the 196 cm must be divided by 100 - the step the distractors are spaced around.
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