Ramona is installing a kitchen counter that is 9 feet by 3 feet. The counter has a hole in it for a sink that is 2 feet by 3 feet. We need to find the area of the kitchen counter after the hole for the sink has been cut out. We need to complete the equation $( \_ \times 3) - (2 \times \_) = \_ $ to calculate the area.

ArithmeticAreaSubtractionWord Problem
2025/4/26

1. Problem Description

Ramona is installing a kitchen counter that is 9 feet by 3 feet. The counter has a hole in it for a sink that is 2 feet by 3 feet. We need to find the area of the kitchen counter after the hole for the sink has been cut out. We need to complete the equation (_×3)(2×_)=_( \_ \times 3) - (2 \times \_) = \_ to calculate the area.

2. Solution Steps

First, we need to find the area of the entire kitchen counter. The counter is 9 feet by 3 feet, so its area is 9×39 \times 3.
Area of the counter =length×width= length \times width
Area of the counter =9×3=27= 9 \times 3 = 27 square feet.
Next, we need to find the area of the hole for the sink. The hole is 2 feet by 3 feet, so its area is 2×32 \times 3.
Area of the sink hole =length×width= length \times width
Area of the sink hole =2×3=6= 2 \times 3 = 6 square feet.
Now, we need to subtract the area of the sink hole from the area of the entire counter to find the area of the kitchen counter after the hole has been cut out.
Area of the kitchen counter after the hole =Area of the counterArea of the sink hole= Area\ of\ the\ counter - Area\ of\ the\ sink\ hole
Area of the kitchen counter after the hole =276=21= 27 - 6 = 21 square feet.
Completing the equation, we have (9×3)(2×3)=21(9 \times 3) - (2 \times 3) = 21.

3. Final Answer

(B 9 x 3) - (2 x A 3) = A 21 ft2^2

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