SOLUTION: Greek architects considered a rectangle whose -1.5,2.6,6) to be the most visually appealing. Find the length and width of a rectangle constructed in this manner if the sum of the l

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Question 624691: Greek architects considered a rectangle whose -1.5,2.6,6) to be the most visually appealing. Find the length and width of a rectangle constructed in this manner if the sum of the length and with is 130 ft.
HELP ME PLEASE.
Answer by KMST(5399) About Me  (Show Source):
You can put this solution on YOUR website!
Let L be the length, and w be the width.
If the length is 1.6 times the width, then
L=1.6w
If the sum of the length and with (in feet) is 130, then
L%2Bw=130.
Substituting in the equation above, the expression 1.6w for L, we get
1.6w%2Bw=130 --> 2.6w=130 --> w=130%2F2.6 --> highlight%28w=50%29
Ten, substituting the value found for w in L=1.6w we find
L=1.6%2A50 --> highlight%28L=80%29
The two equations we set up at the start form a system of linear equations:
system%28L=1.6w%2CL%2Bw=130%29
and what we did above is solve it "by substitution".