SOLUTION: The area of a rectangular room is 56 square feet. The length is 6 feet less than twice the width. Fin the dimensions of the room.
Algebra.Com
Question 54292: The area of a rectangular room is 56 square feet. The length is 6 feet less than twice the width. Fin the dimensions of the room.
Answer by Cintchr(481) (Show Source): You can put this solution on YOUR website!
1.
2.
3.
4.
Substitute
Distribute
Subtract 56 from both sides
Simplify by dividing all parts by 2
Factor
Zero-Product Theorm ... ie: set each piece equal to zero
and
and
NO WAY can a length be a negative number ... so -4 is out.
Go back to the equations 3 and 4 and plug in 7 for W
3.
4.
and since our Area is 56 .. and 8*7 = 56 ... we did this correctly.
The dimensions of the rectangular room are 8 feet by 7 feet
RELATED QUESTIONS
a rectangular room has an area of 665 square feet. Its length is three less than twice... (answered by drj)
the area of a rectangular room is 104 square feet. The length of the room is 5 feet... (answered by london maths tutor)
The area of a rectangular room is 238 square feet. The width is 3 feet less than the... (answered by stanbon)
The length of a rectangular room is 6 feet longer than twice the width. If the room's... (answered by Solver92311)
The area of a rectangular room is 104 square feet. The length of the room is 5 feet... (answered by josgarithmetic,MathTherapy)
THe area of the floor in Samantha's rectangular room is 120 square feet. The length of... (answered by mananth)
The length of a rectangular storage room is 2 feet longer than its width. If the area of... (answered by josgarithmetic)
A rectangular room has an area of 252 square ft.
The length of the room is 4 feet... (answered by richwmiller)
The length of a rectangular storage room is 6 feet longer than it's width. What are the... (answered by ptaylor)