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salantis [7]
3 years ago
14

If the length of a rectangular yard is represented by w+4 and the width by 2w+5, write a simplified expression in terms of w tha

t represents the total length of fence needed to go around the yard. Show your work step by step.
Mathematics
1 answer:
adell [148]3 years ago
6 0

Answer:

P = 6w + 18

Step-by-step explanation:

A rectangle is a plane shape having a LENGTH and a WIDTH.

Length (l) = w + 4

Width (w) = 2w + 5

To write a simplified equation in terms of w to represent the total length, let's used the idea of a PERIMETER of a RECTANGLE.

Perimeter (P) = 2 ( l + b)

Where l = length= w + 4

Where b = width = 2w + 5

P = 2( w + 4 + 2w + 5)

P = 2( 3w + 9)

P = 6w + 18

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Please help me please!<br> Also, please show your work image shown below in attachment
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Answer:

see below

Step-by-step explanation:

some of your answers that you currently have are wrong, I'll note those mistakes below

- when factoring (ie 5x+15) only factor out things that can divide both numbers into a whole number ratio

5x+15 = 5(x+3), not (x+3)(x+5)

ie  \frac{10x^2+20x}{x+2}

we see that 10x can divide the numerator in a whole number ratio

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second mistake: the first binomial expansion is incorrect.

you have the expansion formula right, but you added terms wrong, go look at it again

3. x^2+3x+2/ x^2+5x+6

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4. (x^2+6x+8)/(x^2-16)

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3 years ago
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