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Blake is building a box from an 8.5inchtimes 11 inch sheet of metal by cutting squares out and folding the sides up, as shown in the diagram. The formula A=(8.5-2x)(11-2x) represents the base area of a box that is z inches tall, where 4.25lt xlt 5.5 Part A What does 8.5 represent in the equation for the base area? The 8.5 represents a dimension of the original sheet of metal. The 8.5 represents a limitation on the length of the box made using the sheet of metal. The 8.5 represents the volume of the box made using the sheet of metal. D The 8.5 represents the width of the box"made using the sheet of metal.

Question

Blake is building a box from an 8.5inchtimes 11 inch sheet of metal by cutting
squares out and folding the sides up, as shown in the diagram.
The formula A=(8.5-2x)(11-2x) represents the base area of a box that is
z inches tall, where 4.25lt xlt 5.5
Part A
What does 8.5 represent in the equation for the base area?
The 8.5 represents a dimension of the original sheet of metal.
The 8.5 represents a limitation on the length of the box made using
the sheet of metal.
The 8.5 represents the volume of the box made using the sheet of
metal.
D
The 8.5 represents the width of the box"made using the sheet of
metal.

Blake is building a box from an 8.5inchtimes 11 inch sheet of metal by cutting squares out and folding the sides up, as shown in the diagram. The formula A=(8.5-2x)(11-2x) represents the base area of a box that is z inches tall, where 4.25lt xlt 5.5 Part A What does 8.5 represent in the equation for the base area? The 8.5 represents a dimension of the original sheet of metal. The 8.5 represents a limitation on the length of the box made using the sheet of metal. The 8.5 represents the volume of the box made using the sheet of metal. D The 8.5 represents the width of the box"made using the sheet of metal.

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WallaceMaster · Tutor for 5 years

Answer

Step 1: Understand the context of the question.The question describes a process of creating a box from a rectangular sheet of metal by cutting out squares from each corner and folding up the sides. The original dimensions of the metal sheet are given as 11 inches in length and 8.5 inches in width.Step 2: Analyze the formula.The formula provided is \(A = (8.5 - 2x)(11 - 2x)\), which represents the base area of the box after squares with side length \(x\) are cut from each corner.Step 3: Determine what 8.5 represents in the formula.In the context of the formula, 8.5 is subtracted by twice the side length of the squares being cut out (2x). This operation is used to calculate the new width of the box after the squares are removed from the original width of the metal sheet.Step 4: Extract the final answer.The 8.5 in the formula represents the original width of the metal sheet. When squares are cut out from each corner, the width of the box is reduced by twice the side length of the squares (2x). Therefore, the correct answer is:The 8.5 represents the width of the box made using the sheet of metal.
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