Discussion
Length of a rectangular ground is 15m more than its breadth. What will be its area if Length : Breadth is 7:4?
Answer: A
Two facts describe the same rectangle, so use the ratio to introduce a single unknown.
\[ l = 7k, \qquad b = 4k \]
\[ l - b = 15 \quad\Longrightarrow\quad 3k = 15 \quad\Longrightarrow\quad k = 5 \]
\[ l = 35 \text{ m}, \qquad b = 20 \text{ m} \]
\[ A = 35 \times 20 = 700 \text{ m}^{2} \]
The difference of the ratio terms, \( 7 - 4 = 3 \), is what corresponds to the given 15 m - matching the right difference to the right number is the whole problem.
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