Question

For a math homework assignment, Karla found the area and perimeter of a room of her house. She reported that the area of her rectangular living room is 180 square feet and that the perimeter is 54 feet. When drawing a sketch of her living room the next day, she realized that she had forgotten to write down the dimensions of the room. What are the dimensions of Karla's living room, in feet?

F. 9 by 20
G. 10 by 18
H. 12 by 15
J. 14 by 13
K. 16 by 11

Answer 1

P = 2L + 2W

You can find the dimensions by trial and error.

Since the perimeter ends in 4, A must be wrong because 18 times 2 is 36.

Answer 2

w^2-27w+180=0
2w+2L=54
wL=180
w+L=27
180/w=15
180/w=12
(w-12) (w-15)