math10-3

Question

Answer 1

(2)

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

The perimeter of the larger rectangle is 5 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 ratios of perimeters.

Therefore, the scale factor is .

In rectangular objects, the scale factor of two areas is .

The area of the larger circle is .

Substitute .

.

The area of the larger rectangle is .