What is the square footage of a rectangular room measured by walking heel-to-toe in 13 steps from wall A to wall B and 10 steps from wall C to wall D, given that each step is approximately 9 inches long?

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To determine the square footage of the rectangular room, you need to first calculate the dimensions based on the measurements taken in steps.

Each step is approximately 9 inches long. Therefore, the total distance walked from wall A to wall B, which was measured in 13 steps, can be calculated as follows:

13 steps × 9 inches/step = 117 inches.

Similarly, the distance from wall C to wall D, measured in 10 steps, is calculated as:

10 steps × 9 inches/step = 90 inches.

To find the area of the rectangular room, you need to convert these measurements into feet, since square footage is typically measured in square feet. There are 12 inches in a foot, so:

For the length (A to B): 117 inches ÷ 12 inches/foot = 9.75 feet.

For the width (C to D): 90 inches ÷ 12 inches/foot = 7.5 feet.

Now, you can calculate the area by multiplying the length by the width:

Area = Length × Width = 9.75 feet × 7.5 feet = 73.125 square feet.

Hence, the correct square footage of the rectangular room is 73.

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