SOLUTION: a rectangle is 4 feet longer than its width. if the area of the rectangle is 369 sq feet what is its width in feet?

Algebra ->  Rectangles -> SOLUTION: a rectangle is 4 feet longer than its width. if the area of the rectangle is 369 sq feet what is its width in feet?      Log On


   



Question 993260: a rectangle is 4 feet longer than its width. if the area of the rectangle is 369 sq feet what is its width in feet?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
a rectangle is 4 feet longer than its width. if the area of the rectangle is 369 sq feet what is its width in feet?
let x=width of rectangle
x+4=length of rectangle
length*width=area
x(x+4)=369
x^2+4x-369=0
solve for x by quadratic formula:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a=1, b=4, c=-369
ans: x=17.31
width=17.31 ft
length=21.31 ft