Read and answer the question:

Which steps show the correct way to determine the amount of spaceavailable for flowers and extra seating?

Question

Read and answer the question:

Which steps show the correct way to determine the amount of spaceavailable for flowers and extra seating?

BlackTom AI · Accepted Answer

Question restatement: Determine which option correctly shows the steps to find the available space for flowers and extra seating.

Option 1 analysis: 'Step 1: 20 feet x 20 feet. Step 2: 2,500 feet squared - 20 feet.' Here Step 1 computes an area as 20 by 20 feet, which is 400 square feet. In Step 2, subtracting 20 feet (a linear dimension) from an area (square feet) is dimensionally inconsistent; the subtraction should involve area minus area. This makes the calculation dubious even before numeric results.

Option 2 analysis: 'Step 1: 20 feet x 2. Step 2: 2,500 feet squared - 40 feet.' Step 1 yields 20 feet by 2 feet, which is 40 square feet for the space, but the total area remains 2,500 square feet. Subtracting 40 feet (a linear measure) from an area again mixes units and is not a proper area subtraction. The units do not align properly for a valid available-space calculation.

Option 3 analysis: 'Step 1: 20 feet x 20 feet. Step 2: 2,500 feet squared - 400 feet.' Step 1 yields a 400-square-foot area for the flowers/seating. Step 2 attempts to subtract that from the total area (2,500 square feet). Although the units should be consistently expressed as square feet on both terms, the method—subtracting the occupied area from the total area to get available space—follows the correct conceptual approach. The numeric subtraction aligns with the intended calculation pattern (total area minus occupied area).

Option 4 analysis: 'Step 1: 20 feet x 20 feet. Step 2: 2,500 feet squared x 400 feet' Here Step 2 uses multiplication of areas/lengths without a logical basis for determining available space. Multiplying the total area by 400 feet does not produce a meaningful measure of available space and represents an incorrect operation for this context. The lack of a subtraction step and the inappropriate unit combination render this option invalid.

Summary of reasoning: The question centers on calculating remaining space by removing the space occupied by flowers and seating from the total area. The correct approach requires computing the occupied area (from Step 1) and subtracting it from the total area (Step 2) with consistent area units. The other options either mix units improperly or apply an operation (multiplication) that does not reflect the intended subtraction of occupied space from total space. The option that follows the proper subtraction pattern and uses the correct components aligns with the standard method for this kind of spatial calculation.

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