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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?

Respuesta :

mathstudent55
The piece of paper has 4 corners.
If you cut 2 in.^2 from each corner, you are taking out 8 in.^2 of area.
The area of the uncut sheet is 8.5 in. * 11 in. = 93.5 in.^2
93.5 in.^2 - 8 in.^2 = 85.5 in.^2
JeanaShupp

Answer:   [tex]85.5\ in^2[/tex]

Step-by-step explanation:

Given : A sheet of paper has dimensions of 8.5 in x 11 in.

Then, the area if the sheet of paper will be :_

[tex]\text{Area}=8.5\times11=93.5\text{ in.}^2[/tex]

Also, we cut [tex]2 in^2[/tex] from each corner of the sheet.

Since, there are 4 corner in a sheet , then the combined area we cut will be :-

[tex]4\times2=8\ in.^2[/tex]

Now, the area of the sheet of paper will be  =[tex]93.5\text{ in.}^2-8\text{ in.}^2[/tex]

[tex]=85.5\ in^2[/tex]

Hence, the area of the sheet of paper will be [tex]85.5\ in^2[/tex]

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