Question

56 points for whoever answers correctly !

Answer 1

We need to use what we know about rectangles to get:

1)

• Total length = 2*W + 8ft
• Total width = W + 8ft

2) area = 2*W^2 + 24ft*W + 64ft^2

Working with rectangles:

We know that rectangles are defined by two measures, width W and length L.

Here we do know that the length of the pool is twice the width, and the width is W, then the length of the pool is:

L = 2*W

And we also have a sidewalk of 4ft all around the pool, now we want to get:

1) The total length and the total width.

This will be equal to the length/width of the pool plus twice the width of the sidewalk (we add it twice because is in both ends) then we have:

• Total length = L + 2*4ft = 2*W + 8ft
• Total width = W + 2*4ft = W + 8ft

2) Now we want to get an expression for the total area of the pool.

Remember that for a rectangle the area is just the product between the width and the length, so to get the area of the pool with the sidewalk we just take:

area = (total length)*(total width)

area = (2*W + 8ft)*(W + 8ft) = 2*W^2 + 3*W*8ft + 64ft^2

area = 2*W^2 + 24ft*W + 64ft^2

This is the equation that gives the total area as a function of W, the width of the pool.

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

brainly.com/question/17297081