The following blueprint of a kitchen has dimensions of 7 inches by 7 inches. The island has been highlighted in red.
The island's actual dimensions are 2 5/8 feet by 1 5/16 feet. If the scale of the blueprint is 1 inch = 1 1/2 feet, what are the dimensions of the island on the blueprint?
To find the dimensions of the island on the blueprint, we need to first convert the actual dimensions of the island from feet to inches.
Actual dimensions of the island:
Length = 2 5/8 feet = 2.625 feet = 2.625 * 12 = 31.5 inches
Width = 1 5/16 feet = 1.3125 feet = 1.3125 * 12 = 15.75 inches
Now, we need to find the dimensions of the island on the blueprint using the scale of 1 inch = 1 1/2 feet.
Scale factor = 1 1/2 = 1.5
Dimensions of the island on the blueprint:
Length = 31.5 inches * 1.5 = 47.25 inches
Width = 15.75 inches * 1.5 = 23.625 inches
Therefore, the dimensions of the island on the blueprint are 47.25 inches by 23.625 inches.