Questions: A tile company adds 10% spoilage when estimating floors. We have a floor that is 34 feet by 30 feet and we want to know about what the company is going to buy to account for the spoilage. We estimate the dimensions of the room to the nearest tens and then the 10% spoilage. sq. ft. spoilage. I don't know

A tile company adds 10% spoilage when estimating floors. We have a floor that is 34 feet by 30 feet and we want to know about what the company is going to buy to account for the spoilage. We estimate the dimensions of the room to the nearest tens and then the 10% spoilage.

sq. ft. spoilage.

I don't know
Transcript text: A tile company adds $10 \%$ spoilage when estimating floors. We have a floor that is 34 feet by 30 feet and we want to know about what the company is going to buy to account for the spoilage. We estimate the dimensions of the room to the nearest tens and then the $10 \%$ spoilage. $\square$ sq. ft. spoilage. $\square$ I don't know
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Solution

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Solution Steps

Step 1: Estimate the Dimensions of the Room

The given dimensions of the floor are 34 feet by 30 feet. We need to round these dimensions to the nearest tens.

  • 34 feet rounds to 30 feet.
  • 30 feet rounds to 30 feet.

Thus, the estimated dimensions of the room are 30 feet by 30 feet.

Step 2: Calculate the Area of the Room

Using the estimated dimensions, calculate the area of the room:

\[ \text{Area} = \text{length} \times \text{width} = 30 \, \text{ft} \times 30 \, \text{ft} = 900 \, \text{sq. ft} \]

Step 3: Calculate the Spoilage

The company adds a 10% spoilage to the estimated area. Calculate the spoilage:

\[ \text{Spoilage} = 0.10 \times 900 \, \text{sq. ft} = 90 \, \text{sq. ft} \]

Final Answer

The spoilage is \(\boxed{90 \, \text{sq. ft}}\).

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