math10-3

Question

Answer 1

1.(a)

Observe the graph:

The larger rectangle has length and width .

The small rectangle has length and width .

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

The ratio of lengths of two rectangles:

.

The ratio of widths of two rectangles:

.

 

Therefore, the scale factor is .

Answer 2

1.(b)

The perimeter of the rectangle is .

The perimeter of the larger rectangle is .

Substitute and .

.

The perimeter of the small rectangle is .

Substitute and .

.

The ratio of perimeters of two rectangles:

.

The perimeter of the larger rectangle is 3 times the perimeter of the smaller rectangle.

Answer 3

1.(c)

The area of the rectangle is .

The area of the larger rectangle is .

Substitute and .

.

The area of the smaller rectangle is .

Substitute and .

.

The ratio of areas of two rectangles:

.

The area of the larger rectangle is 9 times the area of the smaller rectangle.