AbeNeedsAnswers wrote:
The window in the figure above consists of a rectangle and a semicircle with dimensions as shown. What is the area, in square feet, of the window?
A) 40 + 8ππ
B) 40 + 2ππ
C) 32 + 8ππ
D) 32 + 4ππ
E) 32 + 2Ï€
E
The area of the window = Area of the semi-circle + Area of the rectangle
Area of the semi-circle = Half of the Area of the circle
It is given that the diameter of the semi-circle = 4 feet, thus the radius = 2 feet
Area of the semi-circle = 1/2*(Ï€r^2) = 1/2*(Ï€*2^2) = 2Ï€ sq feet
Area of the rectangle = Length x Breadth
It is given that Breadth = 4 feet and that the length + radius of the semi-circle = 10 feet.
Thus, the length of the rectangle = 10 - 2 = 8 feet
Thus, Area of the rectangle = Length x Breadth = 8 x 4 = 32 sq feet
=> The area of the window = Area of the semi-circle + Area of the rectangle = [spoiler]2Ï€ + 32 sq feet[/spoiler]
The correct answer:
D
Hope this helps!
Download free ebook:
Manhattan Review GMAT Quantitative Question Bank Guide
-Jay
_________________
Manhattan Review GMAT Prep
Locations:
New York |
Bangkok |
Abu Dhabi |
Rome | and many more...
Schedule your free consultation with an experienced GMAT Prep Advisor!
Click here.
