MATH WORD PROBLEM

Question

PART A
Camilla has a rectangular print that is 34 inches wide and 26 inches tall. She wants to center it on the wall above the television in her living room. The television is placed i front of a rectangular wall in the living room that is 18 1/2 feet long and 9 3/4 feet tall.
SHOW WORK FOR ANSWER:
ANSWER: To be centered horizontally,, the print must be 7 5/6 feet from each adjoining wall.

PART B
The television reached a height of 4 1/2 feet. What is the number of feet from the ceiling Camilla must hang the print for it to be centered vertically?
SHOW WORK FOR THE ANSWER:
ANSWER: To be centered vertically the print must be 1 13/24 feet from the ceiling and the television.

Answer 1

Part A

the wall is 18 1/2 ft long

the picture is 34 in or 34/12=2 10/12=2 5/6 ft wide

18 1/2-2 5/6=18 3/6-2 5/6

18 3/6=17 9/6

17 9/6-2 5/6=15 4/6 ft left with half this distance on both sides of the picture

15 4/6 simplifies to 15 2/3

(15 2/3)/2=(47/3)/2=(47/3)*(1/2)=47/6=7 5/6 ft

 

Part B

the wall is 9 3/4 ft tall

the TV has a height of 4 1/2 ft

9 3/4-4 1/2=5 1/4 ft is the distance you have to work with

the picture is 26 in tall or 26/12=2 2/12=2 1/6 ft tall

5 1/4-2 1/6=5 3/12-2 2/12=3 1/12 ft with half this distance top and bottom

(3 1/12)/2=(37/12)*(1/2)=37/24=1 13/24 ft