I'm studying for a test and I really need the help please. A rectangles width is 6 feet less than its length. If the area of the rectangle is 247 square feet, what is its length, in feet?

Question

anonymous · Answer

I have some examples from my notes, but they didnt help me out as much as I  had hoped

anonymous · Answer

so w=l-6

anonymous · Answer

the area is l x w

anonymous · Answer

so l(l-6) =274 which is equal to l^2-6l-274

anonymous · Answer

so use the quadratic formula and that will give you the answer

anonymous · Answer

okay, ill try it out.

anonymous · Answer

I got x=566

anonymous · Answer

$$(L-6) L=247 $$$$\{L\to -13,L\to 19\} $$$$L=19 $$

anonymous · Answer

247 is square feet not the length. how did you get that??

anonymous · Answer

width times length is area in square units.

anonymous · Answer

okay then.

anonymous · Answer

instead of the quad formula you could also factor l^2-6l-247

anonymous · Answer

thank you.

anonymous · Answer

(L - 6) L == 247 // Solve // Flatten 
Is the actual text that was fed to Mathematica to solve for L .