SOLUTION: The area of a rectangular field is 94 sq m and its length is four meters longer than its width.Find the dimension of the field.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The area of a rectangular field is 94 sq m and its length is four meters longer than its width.Find the dimension of the field.      Log On


   

Question 1092262: The area of a rectangular field is 94 sq m and its length is four meters longer than its width.Find the dimension of the field.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Dimensions, x and x+4;

x%28x%2B4%29=94
.

x%5E2%2B4x-94=0
x=%28-4%2B-+sqrt%2816%2B4%2A94%29%29%2F2
x=%28-4%2B-+sqrt%28392%29%29%2F2
x=%28-4%2B-+sqrt%288%2A49%29%29%2F2
x=%28-4%2B-+14sqrt%282%29%29%2F2
x=-2%2B7%2Asqrt%282%29
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Dimensions: system%282%2B7sqrt%282%29%2Cand%2C-2%2B7sqrt%282%29%29