Kimberley wants to plot a graph to show the prices of different numbers of skateboards. She has to plot the following points: (1
1 answer:
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With the curve 
parameterized by
with
, and given the vector field
the work done by
on a particle moving on along is given by the line integral
where
The integral is then
with
the work done by
where
The integral is then
Answer:
Length: 139 feet
Width: 104 feet
Step-by-step explanation:
The formula for the perimeter of a rectangle can be given by . We are given the perimeter of the pool along with the width.
From here, all we have to do is plug back into the original formula:
Which can be further simplified as:
From here, all we have to do is add 70 to both sides of the equation and divide by four:
To make sure that this answer is accurate, we can find that the width of the rectangle should then be 104 (given by 139 - 35). All we have to do is plug back into the original equation:
And the substitution works, so the length of the rectangle would be 139 feet and the width would be 104 feet.