Answer:
$0.19
Step-by-step explanation:
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
Answer:
132 cm cubed
Step-by-step explanation:
so if
= 3
cylinder 1 = 3 x 2 x 2 x 7 = 84 cm cubed
cylinder 2 - 3 x 4 x 4 x 1 = 48 cm cubed
all together = 84 + 48 = 132 cm cubed
area of this object = 132 cm cubed