. A standard letter-sized piece of paper has a length and width of 8.5 inches by 11 inches.
d. What would the area be after 7 folds?

Respuesta :

Answer:

Area after 7 folds = 0.73 inch²

Step-by-step explanation:

After 1 fold width or length reduces to half.

Area = Length x width

So after 1 fold area will reduce to half.

So we have

              [tex]\texttt{Area after n folds =}\frac{\texttt{Initial area}}{2^{\texttt{number of folds}}}[/tex]

Initial area = 8.5 x 11 = 93.5 inch²

Number of folds = 7

[tex]\texttt{Area after 7 folds =}\frac{\texttt{Initial area}}{2^{7}}\\\\\texttt{Area after 7 folds =}\frac{93.5}{128}=0.73inch^2[/tex]

Area after 7 folds = 0.73 inch²