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:
Reason 1: As provided by the question
Statement 2: 4x = 8x - 16
Reason 3: Collective Like terms property
Reason 4: Equality property
Step-by-step explanation:
Reason 1: As provided by the question
Statement 2: 4x = 8x - 16
Reason 3: Collective Like terms property
Reason 4: Equality property
Answer:3/2
Step-by-step explanation:
6÷2=3
9÷3=2
Answer:
2x² + 13x + 15
Step-by-step explanation:
| 2x | 3
x | 2x*x = 2x² | 3*x = 3x
5 | 2x*5 = 10x | 3*5 = 15
We have, 2x² + 3x + 10x + 15
Combining like terms, we would have the final expression as:
2x² + 13x + 15
It's equal to the exponent, 2 to what power = x^3 y^5
