Question

Jessica wants to plan where she will place furniture in her room, so she has drawn a scale model of her room in order to begin planning. The scale model is 11 inches long and 8.5 inches wide. Jessica notices that the door to her room takes up 1.75 inches on the right-side wall of her room, and she realizes that she cannot place any furniture in the area that the door turns through when it is opened. If the longest wall in Jessica’s actual room is 15 feet long, what is the best estimate of the area of the actual space in her room where furniture cannot be placed because of the door?

Answer 1

To solve this problem you must apply the proccedure shown below:
 1. You have that:
 - The scale model is 11 inches long and 8.5 inches wide.
 - The door to her room takes up 1.75 inches.
 - The longest wall in Jessica’s actual room is 15 feet long.
 2. Therefore, the actual size of the door is:
 15 feet=180 inches
 1.75 inches(180 inches/11 inches)=28.63 inches
 3. If the door in completely open, you must apply the formula for calculate the area of a semicircle:
 A=πr²/2
 r=28.63 inches
 A=π(28.63 inches)²/2
 A=1288.11 inches²
 The answer is: 1288.11 inches²