Question 1158262: The area A, in square meters, of a crectangle with a perimeter of 160 meters is given by the equation A = 80w - w squared, where w is the width of the rectangle in meters. What is the width of a rectangle if its area is 700 m squared?
Answer by ikleyn(52864)   (Show Source):
You can put this solution on YOUR website! .
The area A, in square meters, of a  rectangle with a perimeter of 160 meters
is given by the equation A = 80w - w squared, where w is the width of the rectangle in meters.
What is the width of a rectangle if its area is 700 m squared?
~~~~~~~~~~~~~~~~
Solve this quadratic equation
80w - w^2 = 700,
Solve it by factoring
w^2 - 80w + 700 = 0
(w-10)*(w-70) = 0.
ANSWER. The dimensions of the rectangle are 10 meters by 70 meters,
giving the width, as a smaller dimension, 10 meters.
Solved.
|
|
|
