Jimmy is installing a gravel path along the diagonal of a rectangular garden. The garden measures 24 feet wide by 32 feet long. If the path is 2 feet wide and gravel cost 3.50 a square foot, how much will it cost to install the gravel path
First, we need to calculate the length of the diagonal of the garden.
Using the Pythagorean theorem: diagonal^2 = width^2 + length^2
diagonal = √(24^2 + 32^2)
diagonal = √(576 + 1024)
diagonal = √1600
diagonal = 40 feet
Now, we need to calculate the area of the gravel path:
Area = (40ft x 2ft) + (24ft x 32ft)
Area = (80ft^2) + (768ft^2)
Area = 848ft^2
Finally, we can calculate the total cost of the gravel path:
Cost = 848ft^2 x $3.50
Cost = $2968
Therefore, it will cost $2968 to install the gravel path along the diagonal of the rectangular garden.