Mr. Lakandula would like build a wall to the perimeter of his larger fishpond It's area is computed as:
[tex] x^{2} -20x =8000[/tex]
Find the dimensions where width is 20 meters less than its length, and the perimeter of the fishpond.
[tex] x^{2} -20x =8000[/tex]
[tex] x^{2} -20x-8000=0[/tex]
Solve by factoring:
(x-100) (x+20) = 0
x-100 = 0 x+20 = 0
x=100 x = -20
Use the positive root for distance.
Length: x = 100 meters
Width: x-20 = 100 - 20 = 80 meters
Solve for Perimeter:
Perimeter = 2 (L) + 2(W)
Perimeter = 2(100 meters) + 2(80 meters)
Perimeter = 200 meters + 160 meters
Perimeter = 360 meters
