SOLUTION: The length of a rectangle is 1.6 times the width Find the dimensions of rectangle if it's area is 9000m^2

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: The length of a rectangle is 1.6 times the width Find the dimensions of rectangle if it's area is 9000m^2      Log On


   

Question 157410This question is from textbook Introductory algebra
: The length of a rectangle is 1.6 times the width Find the dimensions of rectangle if it's area is 9000m^2 This question is from textbook Introductory algebra

Answer by gonzo(654) About Me  (Show Source):
You can put this solution on YOUR website!
area of a rectangle is length * width
width = w
length = 1.6 * w
length * width = 1.6*w*w = 1.6*w^2.
1.6*w^2 = 9000
w^2 = 9000 / 1.6 = 5625
w = (5625)^(1/2) = 75
width = 75
length = 1.6 * 75 = 120.
calculating area = length * width = 75 * 120 = 9000.