SOLUTION: a room has a floor area of 520 square feet. one dimension is 6 feet more than the other. Find the dimensions of the room. i know that the formula is a=lw would i do as i would

Question 83263: a room has a floor area of 520 square feet. one dimension is 6 feet more than the other. Find the dimensions of the room.
i know that the formula is a=lw would i do as i would a equation im not sure can you please help understand

thank you
jenzbears
Found 2 solutions by Mona27, ptaylor:
Answer by Mona27(45) (Show Source): You can put this solution on YOUR website!
Well it's a good thing you know the rule. Now all you need to do is find out what to put in the rule:
If one of the dimensions is called x, then the other must be 6 feet more than x, in other words, x+6.
And so
l=x+6
w=x
Multiplying those together we get 520

Giving
x=-26 or x=20
Of course the first answer is rejected, meaning the width would be 20 feet and the length is 26 feet.
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!

YOU ARE RIGHT!!! A=LW=520 SQ FT
Let length=L
Now we are told the the one dimension (width) is 6 feet more than the other (length). So:
Width would=L+6 so our equation to solve is:
520=L(L+6) get rid of parens
520=L^2+6L subtract 520 from both sides
520-520=L^2+6L-520 collect like terms
L^2+6L-520=0 quadratic in standard form where A=1, B=6 and C=-520. By inspection, we can see that this quadratic can be factored. The factors are:
(L+26)(L-20)=0
L=-26ft--------------------------discount negative lengths
L=20 ft-------------------------------Length
L+6=20+6=26ft--------------------------Width
CK
20*26=520
520=520
Note: If the A coefficient of a quadratic is 1, then the B coefficient is the sum of the factors of the C coefficient.

Hope this helps---ptaylor

RELATED QUESTIONS
A room has an area of 418 square feet. One dimension is 3 feet more than the other. Find... (answered by MathLover1)
A room has a floor area of 320 square feet. One dimension is 4 feet more than the other.... (answered by htmentor)
A room has an area of 322 square feet. one dimension is 9ft more than the other. Find the (answered by jojo14344)
A room has an area of 456 square fee. One dimension is 5 feet more than the other. Find... (answered by ikleyn)
I need help with this one. A room has an area of 300 square fee. One dimension is 5... (answered by bucky)
a room has an area of 425 square feet. one dimension is 8 feet more then the other. find... (answered by jim_thompson5910)
Hello, A room has an area of 160 sq ft. One dimension is 6 feet more than the other.... (answered by jim_thompson5910)
A room has an area of 352 ft2. One dimension is 6 ft more than the other. Find the... (answered by alicealc)
A rectangular room has an area of 252 square ft. The length of the room is 4 feet... (answered by richwmiller)