ISEE Word Problems Question 207: Answer and Explanation
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Question: 207
5. A rectangular parking lot was enlarged by making the width 3 times as wide and making the length 
as long. If the area of the parking lot was M square yards before the expansion, what is the new area, in square yards, of the parking lot, in terms of M?
- A.
M - B.
M - C.
M - D.
M
Correct Answer: C
Explanation:
The answer is C
Let the original width be x and the original length be y. As the area of a rectangle is l × w, the area of the original rectangle is xy. Thus M = xy. The new width is 3x, and the new length is y, so the new area is xy. Substitute M for xy, and the new area is M.
As no original values were given, plug in for an initial width and length, such as width = 2, and length = 4. Thus, the original area, M, was 8. The new width is 6 and the new length is 5, so the new area is 30. Only choice (C) yields 30 when you plug in M = 8.