Digital SAT Math Test 5 Question 6

For a certain rectangular photo, the ratio of its length to its width is 3 to 4. If the width of the photo is increased by 50%, by what percentage would the area of the photo increase and still maintain the ratio?
Answer:
B

Explanation

The correct answer is Choice B.

Let $l=$length and $w=$width of the photo.

Choice A is incorrect because this is the factor by which each side lengths increased.

Choice C is incorrect and may result from algebraic mistakes.

Choice D is incorrect because this is the factor by which the area increased, not by how much it increased.

✨ Expert's Tip ✨

If something doubled, that is 200% of the original value or 100% increase of the original value.

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