Answer :
Answer:
Step-by-step explanation:
let x,y be the sides of court.
2(x+y)=90
x+y=90/2=45
y=45-x
xy=500
x(45-x)=500
45x-x²=500
x²-45x+500=0
x²-25x-20x+500=0
x(x-25)-20(x-25)=0
(x-25)(x-20)=0
x=25,20
when x=25
y=45-x=45-25=20
when x=20
y=45-20=25
sides are 25 ft,20 ft.
Answer:
20 by 25 feet
Step-by-step explanation:
A = L·w
P = 2L + 2w
500 = Lw
90 = 2L + 2w
we could solve the first equation for 'w' and then substitute that value into the second equation:
w = 500/L
90 = 2L + 2(500/L)
90 = 2L + 1000/L
90 = (2L² + 1000)/L
multiply each side by L to eliminate it as the denominator
90L = 2L² + 1000
2L² - 90L + 1000
the zeros of this quadratic are 20 and 25
A = 20 x 25 which equals 500
P = 2(20) + 2(25) which equals 90