Question

Answer Please!!!! 20 points<3

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?

A) 6 ft2
B) 6.5 ft2
C) 9 ft2
D) 18 ft2

Answer 1

Hello I Just had this problem. The answer IS A

Explanation:

Answer 2

The correct option is C.

Explanation:

It is given that the longest wall in Jessica’s actual room is 15 feet long.

From the scale model it is clear that longest wall in Jessica’s actual room is 11 inches.

Let the actual length of door be x ft.

`(11)/(15)=(1.75)/(x)`

`x=(1.75* 15)/(11)`

`x\approx 2.386`

The length of door is approx 2.386 ft.

The area of the actual space in her room where furniture cannot be placed because of the door is equivalent to the area of semicircle with radius 2.386 ft.

`A=(\pi r^2)/(2)`

`A=(\pi 2.386^2)/(2)`

`A=8.942`

`A\approx 9`

The area of the actual space in her room where furniture cannot be placed because of the door is approx 9 ft. Therefore option C is correct.