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Complete Question
A countertop for a kitchen is modeled with the dimensions shown below. An
18-inch by 21-inch rectangle will be removed for the installation of the sink.
8 ft
2 ft
Sink
18 in
21 in
5 ft
2 ft
What is the area of the top of the installed countertop, to the nearest square foot?
Answer:
19 square foot
Step-by-step explanation:
A countertop for a kitchen is modeled with the dimensions shown below. An 18-inch by 21 inch rectangle will be removed for the sink. What is the area of the top of the installed countertop to the nearest square foot.
Convert from inches to feet
18 inches
1 inch = 0.0833 feet
18 inch = x
Cross Mulitiply
x = 18 × 0.0833 feet
x = 1.5 feet
21 inches
1 inch = 0.0833 feet
21 inch = x
Cross Mulitiply
x = 21 × 0.0833 feet
x = 1.75 feet
Area 1 = 2 ft × 8 ft = 16 ft²
Area 2 = 2 ft × 3 ft = 6 ft²
Area of a sink = Length × Width
= 1.5 ft × 1.75 ft
= 2.625 square feet
Area 1 - Area of sink
= 16 ft² - 2.625 ft²
= 13.375 ft²
Area of the top installed part =
Area 2 + 13.375 ft²
= 6 ft² + 13.375 ft²
= 19.375 ft²
Approximately ≈ 19 ft²
