SOLUTION: The area of a rectangle is the product of its length and width, and equals 1062.If the length is 5 more tthan three times the width and of the rectangle.

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Question 175063: The area of a rectangle is the product of its length and width, and equals 1062.If the length is 5 more tthan three times the width and of the rectangle.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
A+=+l%2Aw
A+=+1062
l+=+3w+%2B+5
1062+=+%283w+%2B+5%29%2Aw
1062+=+3w%5E2+%2B+5w
3w%5E2+%2B+5w+-+1062+=+0
Use the quadratic formula
w+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a+=+3
b+=+5
c+=+-1062
w+=+%28-5+%2B-+sqrt%28+5%5E2-4%2A3%2A%28-1062%29+%29%29%2F%282%2A3%29+
w+=+%28-5+%2B-+sqrt%28+25+%2B+12744+%29%29%2F6+
w+=+%28-5+%2B-+sqrt%28+12769+%29%29%2F6+
w+=+%28-5+%2B+113%29%2F6%0D%0A%7B%7B%7Bw+=+18
and
w+=+%28-5+-+113%29%2F6
w+=+-59%2F3 Can't use a negative number
l+=+3w+%2B+5
l+=+3%2A18+%2B+5
l+=+59
check:
A+=+l%2Aw
A+=+1062
1062+=+18%2A59
1062+=+1062
OK