SOLUTION: A rectangular family room has an area of 160 sq ft. THe length of the room is 6 ft greater than its width, Find the width and length of the room.

Question 872906: A rectangular family room has an area of 160 sq ft. THe length of the room is 6 ft greater than its width, Find the width and length of the room.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A rectangular family room has an area of 160 sq ft. THe length of the room is 6 ft greater than its width, Find the width and length of the room.
--------------------------
Let width be "x"
Then length is "x+6"
-----
Equation to solve for "x"::
x(x+6) = 160
x^2 + 6x - 160 = 0
------
(x+16)(x-10) = 0
---
x = 10 ft (width)
x+6 = 16 ft (length)
-------------------------
Cheers,
Stan H.
------------------
RELATED QUESTIONS
The area of a rectangular room is 399 sq. ft. Its length is 5.3 ft greater than its... (answered by TimothyLamb)

A rectangular room has an area of 400 sq. ft. The length is 7 ft. less than twice the... (answered by nyc_function)

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 room is 1and 2/3 ft more than its width and its perimeter is... (answered by mananth)

A lot has an area of 3,000 sq ft. Its length is 35 ft greater than its width. What are... (answered by solver91311)

Hello, A room has an area of 160 sq ft. One dimension is 6 feet more than the other.... (answered by jim_thompson5910)

the width of a rectangular room is 80% of its length. the length is 15 ft. what is the... (answered by TimothyLamb)

The diagonal of a rectangular room is 13 ft long. One wall measures 7 ft longer than the... (answered by MathLover1,josmiceli)

a rectangular room has an area of 665 square feet. Its length is three less than twice... (answered by drj)