SOLUTION: 1. The width of a rectangle is 10 feet less than the length, find the length of each side if the perimeter is 100 feet.

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Question 6562: 1. The width of a rectangle is 10 feet less than the length, find the length of each side if the perimeter is 100 feet.
Answer by ichudov(499) About Me  (Show Source):
You can put this solution on YOUR website!
This is a question on translating english to algebrese.
Let width = W, length = L.
system%28+W+=+L-10%2C+W%2BL%2BW%2BL=100+%29+
that's a linear system:
system%28+W-L=-10%2C+2W%2B2L=100+%29+
Solved by pluggable solver: Linear System solver (using determinant)
Solve:
+system%28+%0D%0A++++1%5CW+%2B+-1%5CL+=+-10%2C%0D%0A++++2%5CW+%2B+2%5CL+=+100+%29%0D%0A++

Any system of equations:
+system%28+%0D%0A++++a%5B11%5D%2AW+%2B+a%5B12%5D%2AL+=+b%5B1%5D%2C%0D%0A++++a%5B21%5D%2AW+%2B+a%5B22%5D%2AL+=+b%5B2%5D%29%0D%0A++

has solution
+system%28+%0D%0A++++W+=+%28b%5B1%5D%2Aa%5B22%5D+-+b%5B2%5D%2Aa%5B12%5D%29%2F%28a%5B11%5D%2Aa%5B22%5D-a%5B21%5D%2Aa%5B12%5D%29%2C%0D%0A++++L+=+%28a%5B11%5D%2Ab%5B2%5D+-+a%5B21%5D%2Ab%5B1%5D%29%2F%28a%5B11%5D%2Aa%5B22%5D-a%5B21%5D%2Aa%5B12%5D%29%0D%0A++++%29%0D%0A++
or

+system%28+%0D%0A++++++W+=+%28-10%2A2+-+100%2A-1%29%2F%281%2A2-2%2A-1%29+=+20%2C%0D%0A++++++L+=+%281%2A100+-+2%2A-10%29%2F%281%2A2-2%2A-1%29+=+30%0D%0A++++%29%0D%0A++

(W=20, L=30}