SOLUTION: My question is this: The perimeter of the quadrilateral is 88 inches. I need to find the lengths of the sides. This is what I have to work with: x+2, 2x+1, x^2-3x, and x-5. I jus

Algebra ->  Formulas -> SOLUTION: My question is this: The perimeter of the quadrilateral is 88 inches. I need to find the lengths of the sides. This is what I have to work with: x+2, 2x+1, x^2-3x, and x-5. I jus      Log On


   



Question 195428: My question is this: The perimeter of the quadrilateral is 88 inches. I need to find the lengths of the sides. This is what I have to work with: x+2, 2x+1,
x^2-3x, and x-5. I just need the formula to put this together and find the sides.

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
What is the perimeter? It is the sum of the 4 sides. So
%28x%2B2%29+%2B+%282x%2B1%29+%2B+%28x%5E2-3x%29+%2B+%28x-5%29+=+88
Simplify
x%5E2+%2B+x+-2+=+88
x%5E2+%2B+x+-90+=+0
%28x+%2B10%29%28x-9%29=0
So x = -10 or 9. Since the length cannot be negative, then x = 9
SO the sides are:
x+2 = 9+2 = 11
2x+1 = 18+1 = 19
x^2-3x = 81-27 = 54
x-5 = 4