For a rectangle, the ratio of length to width is 35:10. The width increases by 7 units. How must the length change to maintain this ratio?

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SAT Mathematics QUESTION #5472

Question 1

For a rectangle, the ratio of length to width is $35:10$. The width increases by $7$ units. How must the length change to maintain this ratio?

Correct Answer Explanation

Ratio $\frac{L}{W} = \frac{35}{10} = 3.5$. If width becomes $W+7$, length must be $3.5(W+7) = 3.5W + 24.5$. Thus, length increases by $24.5$.