We have two sides of length 'w'. They are the vertical sides.
We also have two sides of length '2w+6' which are the horizontal sides.
So we have these four sides
side1 = w
side2 = 2w+6
side3 = w
side4 = 2w+6
Let's add up those four sides to get
Perimeter = (side1)+(side2)+(side3)+(side4)
Perimeter = (w)+(2w+6)+(w)+(2w+6)
Perimeter = w+2w+6+w+2w+6
Perimeter = 6w+12
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Since the perimeter is given to be 228, and we found the perimeter expression to be 6w+12, this must mean that the two are equal
So, 6w+12 = 228
Let's solve for w
6w+12 = 228
6w+12-12 = 228-12
6w = 216
6w/6 = 216/6
w = 36
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Now that we know that w = 36, we can find the dimensions of this rectangle
The vertical sides are simply w, so the vertical sides are 36 feet each. I simply replaced w with 36.
The horizontal sides are a bit more complicated. The expression we have is 2w+6 or 2*w+6. Let's replace w with 36 and use PEMDAS to evaluate
2*w+6 = 2*36+6 = 78
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Answers are...
Length = 78 feet
Width = 36 feet
(the length is the horizontal component, the width is the vertical)
Answer:
Step-by-step explanation:
A=pe^rt
A future value
P principle 5000
R interest rate 3/100 =0.03
T time 5 years
A=5,000×e^(0.03×5)
A=5,809.17
Answer:
4.5
Step-by-step explanation:
Let the number be x
6x-14 = 40
Add 14
6x = 40+14
6x = 54
Divide by 6
6x/6 = 54/6
x = 9
We want 1/2 of the number
1/2 of 9 is 4.5
Momentum =mass x velocity
therefore
velocity=184 divide by 92 = 2 m/s
