A sheet of paper has dimensions of 8.5 in x 11 in. If you cut 2 in2 from each corner of the sheet, what will the area of the sheet of paper be?
To find the new area of the sheet of paper after cutting 2 in^2 from each corner, follow these steps:
1. Calculate the area of the paper before cutting:
Area_before = Length x Width
Area_before = 8.5 in x 11 in
Area_before = 93.5 in^2
2. Determine the dimensions of the remaining paper after cutting the corners:
Since 2 in^2 is being cut from each corner, the length and width of the remaining paper will be reduced by 2 inches in each direction.
New Length = Old Length - 2 inches
New Length = 8.5 in - 2 in
New Length = 6.5 in
New Width = Old Width - 2 inches
New Width = 11 in - 2 in
New Width = 9 in
3. Calculate the new area of the sheet of paper:
Area_after = New Length x New Width
Area_after = 6.5 in x 9 in
Area_after = 58.5 in^2
Therefore, the new area of the sheet of paper after cutting 2 in^2 from each corner would be 58.5 in^2.
To find the area of the sheet of paper after cutting out the corners, we need to consider the dimensions before and after the cuts.
The original dimensions of the sheet of paper are 8.5 inches by 11 inches.
When you cut out 2 square inches from each corner, the length and width of the sheet will be reduced by 2 inches. This means that the new dimensions of the sheet will be (8.5 - 2) inches by (11 - 2) inches.
Calculating the new dimensions:
Length: 8.5 - 2 = 6.5 inches
Width: 11 - 2 = 9 inches
To find the area of the sheet of paper after the cuts, we simply multiply the new length by the new width:
Area = Length x Width
Area = 6.5 inches x 9 inches
Using a calculator, we can find the product:
Area ≈ 58.5 square inches
Therefore, the area of the sheet of paper after cutting out 2 square inches from each corner is approximately 58.5 square inches.
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One way to read this: wouldn't the new sheet be 4.5 by 7 ??
Your wording is not clear, one could think you are cutting 2 by 2 squares at
each corner.
Then the paper is no longer a rectangle, and your area = (8.5)(11) - 4(2)^2 square inches.