ANSWER
[tex]882 \: {in}^{2} [/tex]
EXPLANATION
The area of the original rectangle is 72 in².
If the length and the width of the rectangle are changed by a scale factor of 3.5.
Then the area will change by
[tex]{3.5}^{2} = 12.25[/tex]
To get the area of the new rectangle is we multiply the area of the original rectangle by 12.25.
This implies that,the area of the new rectangle is
[tex]3.5 \times 72 = 882 \: {in}^{2} [/tex]
Therefore the area of the new rectangle is 882 square inches.
