SOLUTION: Sorry i didnt know which category to place this word problem in but anyways here's the question that i need help with: Two rectangles have the same area, 480 sq. m. The differen

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Question 122112: Sorry i didnt know which category to place this word problem in but anyways here's the question that i need help with:
Two rectangles have the same area, 480 sq. m. The difference in their lengths is 10m. The difference in their widths is 4m. Determine the lengths of their sides.
Please help me soon because i have an exam tomorrow! Thanks tutors!
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let x="length of longest rectangle", y="width of longest rectangle) __ xy=480 __ y=480/x

(x-10)(y+4)=xy __ xy-10y+4x-40=xy __ -10y+4x-40=0

substituting __ -10(480/x)+4x-40=0

multiplying by x __ -4800+4x^2-40x=0 __ dividing by 4 __ x^2-10x-1200=0

factoring __ (x-40)(x+30)=0