SOLUTION: The area of a rectangle is 50 and the perimeter is 32 Calculate the dimensions of the rectangle to 2 decimal places. I think a quadratic equation is needed. Thank you

Algebra ->  Rectangles -> SOLUTION: The area of a rectangle is 50 and the perimeter is 32 Calculate the dimensions of the rectangle to 2 decimal places. I think a quadratic equation is needed. Thank you      Log On


   



Question 385908: The area of a rectangle is 50 and the perimeter is 32 Calculate the dimensions of the rectangle to 2 decimal places. I think a quadratic equation is needed.
Thank you

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
l*w=50
l+w=32
...
l=50/w
..
substitute the value of l
50/w +w=32
(50+w^2)/w=32
..
multipy by w
50+w^2=32w
w^2-32w+50=0
use quadratic equation
a=1,b=-32,c=50
b^2-4ac= 824
...
x1=%2832%2Bsqrt%28824%29%29%2F2
x1=30.35
x2=%2832-sqrt%28824%29%29%2F2
..
x2=1.65
The dimensions are 30.35 by 1.65
...
m.ananth@hotmail.ca