1. The formula for calculate the perimeter of a rectangle, is:
P=2L+2W
P is the perimeter of the rectangle (P=320 feet).
L is the lenght of the rectangle.
W is the width of the rectangle.
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2. The problem says that the length of the rectangle is three times the width, so you have:
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L=3W
3. When you substitute L=3W and P=320, into P=2L+2W, you obtain:
P=2L+2W
320=2(3W)+2W
320=6W+2W
8W=320
W=320/8
W=40 feet
4. The barn forms one end of the rectangle. Therefore the linear feet of fence (x) is:
x=P-W
x=320 feet-40 feet
x=280 feet
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How many linear feet of fence must he buy?
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The answer is: 280 feet
Answer:
first piece = 5 m
second piece = 2(5) + 2 = 12 m
third piece = 3(2x + 2) = 6(5) + 6 = 36 m
Step-by-step explanation:
The question is incomplete, the length of the actual rope is unknown but it should be given . Let us assume the length of the rope is 53 meters.
The rope is cut into 3 pieces of different length.
first piece = x
second piece = 2x + 2
third piece = 3(2x + 2) = 6x + 6
Since the length of the actual rope is assumed to be 53 meters .The length of the first piece, second piece and third piece can be calculated as follows.
we add the length of the pieces to get the actual length of each piece. Therefore,
x + 2x + 2 + 6x + 6 = 53
collect like terms
9x + 8 = 53
9x = 53 - 8
9x = 45
x = 45/9
x = 5 meters
first piece = 5 m
second piece = 2(5) + 2 = 12 m
third piece = 3(2x + 2) = 6(5) + 6 = 36 m
Substitute the n value into the equation. The n repersents the 'nth' term.
K (1) = 2(1) + 3
K = 5
Therefore, when n = 1, K = 5
Same goes t any other term.
K (3) = 2(3) + 3
K = 9
So, when n = 3, K=9
Just keep applying the same rule. Also, make sure that you answer it with a sentence at the end. This should always help you and the marker see that you are confidence with your answer...
I hoped I helped out. Good luck. :)
Okay, so the answer is 5/9. “Someone” was correct. The subtracting of 100 from 225 came from the 100 already being used out of that 225. If you subtract that, you’re left with how much space left. Place those back into the fraction and simplify and you get our answer.
