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Bezzdna [24]
3 years ago
6

Mark knows that his yard is 214 times as long as it is wide. Which equation shows the length, in feet, of the fence that goes al

l the way around the yard if Mark measures the width as w feet?
Mathematics
1 answer:
irakobra [83]3 years ago
3 0

Answer:

Length in feet is equal to \frac{2P}{6.5}, where P is the perimeter

Step-by-step explanation:

Let the width (W) of the yard be "X"

W = w

Then the length(L) of the yard will be

2\frac{1}{4} * w

L = \frac{9}{4} *w

The perimeter of the yard will be equal to the sum of twice the length and width of the yard

Thus,

P = 2 W + 2L\\

Substituting the given values in above equation, we get -

P = 2 w + 2 (\frac{9}{4})w\\P = 2w + 4.5 w\\P = 6.5w

Thus, width in terms of perimeter is equal to

w = \frac{P}{6.5}

Length in feet is equal to \frac{2P}{6.5}

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