Answer:
Area of the rectangle(A) is given by:
[tex]A =lw[/tex]
where, l is the length and w is the width of the rectangle.
As per the statement:
A rectangle has an area of 72 in²
⇒A = 72 in²
then;
[tex]lw = 72[/tex]
It is given that:
The length and the width of the rectangle are changed by a scale factor of 3.5.
Length of new rectangle become = 3.5l
Width of new rectangle become = 3.5 w
then;
Area of new rectangle = (Length of new rectangle)(Width of new rectangle)
⇒Area of new rectangle = (3.5l)(3.5w) =12.25(lw)
Substitute the given values we have;
[tex]\text{Area of new rectangle} = 12.25 \cdot 72 = 882 in^2[/tex]
Therefore, the area of the new rectangle is, 882 in²
