Changing Dimensions Effects Perimeter and Area Differently

If a rectangle has an area of 48 cm², what would be the area of   a similar rectangle if the dimensions are doubled?

• 96 cm²

• 192 cm²

• 216 cm²

• 2304 cm²

If a rectangle is drawn and another rectangle is drawn so that the sides are twice as big as the first rectangle, what happens to the area?

• doubles

• triples

• quadruples

• not enough information

• The perimeter of the new rectangle will be the same as the perimeter of the original rectangle.
• The perimeter of the new rectangle will be 2.5 times as large as the perimeter of the original rectangle.
• The perimeter of the new rectangle will be 5 times as large as the perimeter of the original rectangle.

Suppose the dimensions of a pentagon with an area of 12 are tripled Find the area of the new pentagon in square inches.

• 108

• 36

• 72

• 144

A triangle's 3 sides are increased by a scale factor of 3/4.  What is the result on the area of the new figure?

• The are is increased by 3/4.

• The area is increased by 4/3.

• The area is decreased by 9/16.

• Not enough information.

Find the perimeter of the large triangle.

• 24

• 36

• 12

• 54

Find the area of the figure after halving the dimensions.

• 9

• 12

• 36

• 18

Find the area of the figure after doubling the dimensions.

• 48

• 36

• 144

• 72

If this circle is dilated by the scale factor of 2, what would be the new area in cm²?

• 48 cm²

• 24 cm²

• 6 cm²

• 36 cm²

When multiplying by a scale factor the area will multiply by...

• The same scale factor

• The scale factor doubled

• The scale factor squared (to the power of 2)