Question 44 Answer and Explanation _ACT April 2011 Form 67F Math Section

Use the following information to answer questions 42-44.

The Springfield City Council is going to create a park on some unused land the city owns. The park will be a rectangular region 60 feet by 150 feet with an area of 9, 000 square feet. There will be a picnic shelter in the park that will cover a square region 30 feet by 30 feet with an area of 900 square feet. The park will be grass, except for the region where the picnic shelter is.

44. The City Council's long-term plan for the park involves doubling the area of the park. The length and width of the park will each be extended by d feet. For which of the following equations is x = d a solution?

F. (x + 60)(x + 150) = 2(9,000)

G. (x + 2(60))(x + 2(150)) = 9,000

H. (x + 2(60))(x + 2(150)) = 2(9,000)

J. (2x + 60)(2x + 150) = 2(9,000)

K. 2(x + 60)(x + 150) = 9,000

Answer and Explanation

Your Answer is

Correct Answer is F

Explanation

Add x to the length and width, multiply the area (9000) by 2, so choose F.