Answered

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A parking lot measures 100 by 250 feet including a sidewalk of uniform width around its perimeter. Let x
represent the width of the sidewalk. What is the length of the sidewalk in terms of x?

Sagot :

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The equation that gives the length of the sidewalk in terms of x is:

L = 2*(300ft - 2x)

How to find the length of the sidewalk?

The sidewalk will have the same length as the perimeter of the parking lot.

But we take it on the outer rim of the parking lot or in the rectangle that does not include the parking lot?

We can take it halfway, if the sidewalk measures x, then halfway is equivalent to x/2.

This rectangle will measure:

(100ft - x/2 - x/2) by (250ft - x/2 - x/2)

We subtract it two times because the sidewalks is around all the perimeter (so from the two lengths and two widths we need to remove it).

Remember that for a rectangle of length L and width W, the perimeter is:

P = 2*(W + L)

Then in this case the length of the sidewalk is:

L = 2*(100ft - x/2 - x/2 + 250ft - x/2 - x/2)

L = 2*(300ft - 2x)

This equation gives the length of the sidewalk in terms of x.

If you want to learn more about rectangles, you can read:

https://brainly.com/question/17297081

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