SOLUTION: The floor of the recreation room in a house is a retangle. The sum of its length, width, and height is 42 ft. The sum of its length and height is double its width. The area of its

Question 57684: The floor of the recreation room in a house is a retangle. The sum of its length, width, and height is 42 ft. The sum of its length and height is double its width. The area of its floor is 280 square feet. What are the dimensions of the recreation room?
PLEASE HELP!
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
L*W=280
L+W+H=42
L+H=2W
THUS
L=280/W
280/W+H=2W
280W-2W=-H
278W=-H
H=-278W
THEN
280W+W-278W=42
281W-278W=42
3W=42
W=14
L=280/14
L=20
20+14+H=42
H=42-20-14
H=42-34
H=8
PROOF
20*14=280
280=280
L=20,W=14,H=8
RELATED QUESTIONS
The floor of the recreation room in a house is a rectangle. The sum of its length,... (answered by uma)

the length of a retangle is 1yd less than twice its width,and the area of the rectangel... (answered by lynnlo)

The floor of a room is in the shape of a rectangle. The room is C meters long. The width... (answered by Fombitz)

The length of a rectangular room is 1and 2/3 ft more than its width and its perimeter is... (answered by mananth)

A recreation room has the following dimensions. Carpeting will cost $1.50 a square foot. (answered by MathLover1)

the perimeter of a retangle is 16 meters and its length is 2 meters more than twice its... (answered by jim_thompson5910,josmiceli)

If a retangle is 204 sq m and its length is 5m more that its width what are the length of (answered by FrankM)

The width of a room is 3 feet shorter than its length. The perimeter of the room is 62... (answered by liz_gcmama,abbeysin)

If the area of four walls of a room is 88sq.m. and the perimeter of its floor is 22m.... (answered by Fombitz)