SOLUTION: 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

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.

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