Step 1:

The two rectangular photo graphs is in same shape but different in size.

The perimeter of the larger rectangle is $\"\"$ times the perimeter of the smaller rectangle.

The area of the smaller rectangle is $\"\"$ .

Scale factor: In two similar geometric figures, the ratio of their corresponding sides is called the scale factor.

Consider the scale factor is $\"\"$ .

In rectangular shape objects, the scale factor of sides is equal to the scale factor of perimeters.

Therefore, the scale factor is $\"\"$ .

In rectangular objects, the scale factor of area is $\"\"$ .

The area of the larger circle is $\"\"$ .

Substitute $\"\"$ .

$\"\"$

$\"\"$ .

The area of the larger rectangle is $\"\"$ .