(a)

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Step 1:

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Observe the graph:

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The larger rectangle has length $\"\"$ and width $\"\"$ .

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The small rectangle has length $\"\"$ and width $\"\"$ .

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Scale factor:

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

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\"\"

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\"\"

.

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\"\"

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\"\"

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\"\"

.

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The scale factor is

\"\"

. \ \

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(b)

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The perimeter of the rectangle is $\"\"$ .

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

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Substitute $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$ .

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The perimeter of the small rectangle is $\"\"$ .

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Substitute $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$ .

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The ratio of perimeters of two rectangles:

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$\"\"$

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$\"\"$ .

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

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(c)

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The perimeter of the rectangle is $\"\"$ .

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

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Substitute $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$ .

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The perimeter of the small rectangle is $\"\"$ .

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Substitute $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$ .

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The ratio of Areas of two rectangles:

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$\"\"$

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$\"\"$ .

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