Hi
EMPOWERgmatRichCThank you for your quick reply.
Yes, I think I'm getting a feel of it now.
Since all the answer options are integers w has to be an integer and, therefore, both (100 + w) and (150 + w) have to be an integer which will equal to 30,000, an integer.
Regarding your question about option A.
If I round second parentheses up to nearest "100" then it becomes 200 correct?
(150 + 25) = 175 = 200
125 * 200 = 25,000
Since the product of the two new dimensions has to equal 30,000 I assume I should start thinking of going to the next great value?
I wouldn't go up from option C. 75 since it has a unit digit 5 and if I look closely it will give me a unit of 5 in the final product.
Thank you.
The smaller rectangle in the figure above represents the original size of a parking lot before its length and width were each extended by w feet to make the larger rectangular lot shown. If the area of the enlarged lot is twice the area of the original lot, what is the value of w?
(A) 25
(B) 50
(C) 75
(D) 100
(E) 200
This is how I did this problem.
i.e. (100+w)*(150+w) = 30000
(A) 25 i.e. (100+w)*(150+w) = (100+25)*(150+25) (unit digit non-zero) is NOT equal to 30000 hence INCORRECT
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