SOLUTION: A carpet layer determines that the perimeter of a rectangular wedding hall is 900 feet. (a) Find the length and width of the hall if its length is 50 feet more than its width.

Question 347083: A carpet layer determines that the perimeter of a rectangular wedding hall is 900 feet.
(a) Find the length and width of the hall if its length is 50 feet more than its width.
(b) if the carpet costs $12.75 per square yard installed, how much does it cost to carpet the hall? Thank You
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let width be x
length = x+50
....
900=2*(x+x+50)
900=2(2x+50)
900=4x+100
800=4x
x= 200 the width
length =200+50=250
...
1 yard = 3feet
Area = 200/3 * 250/3 yards
A= 50000/9 yards
1 sq. yard = $12.75
50000/9 *12.75
=$70,833
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