GMAT OFFICIAL GUIDE PS

Solution:

We are given a semicircle with a diameter of 4 ft., which also represents the width of the rectangle. We are also given that height of the window is 10 ft., which is the combined length of the radius of the semicircle and the length of the rectangle. To determine the length of the rectangle, we can subtract the radius of the semicircle, which is 2 ft., from the total length of 10 ft., so we have:

10 – 2 = 8 ft.

Now we can calculate the area for the semicircle and the rectangle.

Area of semicircle = (1/2)π(2^2) = 2π
Area of rectangle = 8 x 4 = 32

Thus, the total area is 32 + 2π.

Answer: E

About The Author

Jeffrey Miller is the head GMAT instructor for Target Test Prep. Jeff has more than fourteen years of experience in the business of helping students with low GMAT scores hurdle the seemingly impossible and achieve the scores they need to get into the top 20 business school programs in the world, including HBS, Stanford, Wharton, and Columbia. Jeff has cultivated many successful business school graduates through his GMAT instruction, and will be a pivotal resource for many more to follow.