High School

Miller Park sits on one square city block, 300 feet on each side. The city wants to estimate the cost of putting a sidewalk diagonally across the park, joining a pair of opposite corners. It will cost $25 per linear foot to have a company carve out and pour the concrete for the sidewalk. How much will the project cost?

Answer :

300*square root of 2=424.264
424.264*25=10606.6.

The total cost of the sidewalk project is estimated to be $10,606.50.

To calculate the cost of constructing a sidewalk diagonally across a square city block to assist with city planning.

To find the length of the sidewalk, we first have to figure out the diagonal length of the square city block using the Pythagorean theorem. Since the block is 300ft on each side, we can consider this as a right-angled triangle with both the legs measuring 300ft.

Using the Pythagorean theorem, we calculate the hypotenuse (the diagonal) as:

Diagonal = √(300² + 300²) = √(90000 + 90000) = √180000 = 424.26ft (approximately)

Next, we calculate the cost by multiplying the length of the sidewalk by the given cost per foot:

Cost = Length of sidewalk × Cost per foot = 424.26ft × $25/ft

Cost = $10,606.50

Therefore, the estimated cost of the project to build the diagonal sidewalk through Miller Park is approximately $10,606.50.

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