Given that the area is equal to twice the perimeter and the dimensions are:
length=4x ft, width=(x+6) ft
the perimeter will be:
P=2(L+W)
P=2(4x+(x+6))
P=2(4x+x+6)
P=2(5x+6)
P=(10x+12)
Area of the rectangle is:
A=4x(x+6)
A=4x²+24x
but:
2P=A
thus
2(10x+12)=4x²+24x
20x+24=4x²+24x
thus
4x²+4x-24=0
x²+x-6=0
x²-2x+3x-6=0
x(x-2)+3(x-2)=0
(x-2)(x+3)=0
thus the answer is:
x=-3 or x=2
thus
length=4x=4*2=8 ft
width=(x+6)=(2+6)=8 ft
It takes 3 pumps 16 hours to empty a tank
Meaning it takes 48 hours for one pump by its self
So if there are 4 pumps
48/4 it would take them 12 hours
They would need to work 12 hours to do it in 1 day
Answer:
2x=-1 or x=-0.5
Step-by-step explanation:
4x-6=10x-3 (-4x)
-6=6x-3 (+3)
-3=6x (divide by 3)
-1=2x
-12-2x is the answer. You just distribute 2 to what is in the parentheses.