SOLUTION: the area of a rectangle is 46 square inches. if the length is 4 times the width, then find the dimensions of the rectangle.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: the area of a rectangle is 46 square inches. if the length is 4 times the width, then find the dimensions of the rectangle.      Log On


   

Question 1163434: the area of a rectangle is 46 square inches. if the length is 4 times the width, then find the dimensions of the rectangle.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Length 4w
Width w
w%2A4w=46
4w%5E2=46
2w%5E2=23
w%2Asqrt%282%29=sqrt%2823%29
w=sqrt%2823%29%2Fsqrt%282%29
w=%28sqrt%2823%29%2Fsqrt%282%29%29%28sqrt%282%29%2Fsqrt%282%29%29
w=sqrt%2846%29%2F2------------width