Dimensional Changes to Perimeter and Area

The perimeter of a rectangle is 38 inches. What is the new perimeter if the length and width are tripled?

• 38 inches

• 76 inches

• 114 inches

• 351 inches

The area of a trapezoid is 512 square feet. What is the new area if the dimension of the trapezoid is reduced by half?

• 16 cm²

• 120 cm²

• 128 cm²

• 136 cm²

The perimeter of a kite is 32 centimeters, and its area is 48 square centimeters. Both diagonals of the kite are enlarged 4 times. Part A: What is the new perimeter of the kite?

• 32 cm

• 64 cm

• 8 cm

• 128 cm

The perimeter of a kite is 32 centimeters, and its area is 48 square centimeters. Both diagonals of the kite are enlarged 4 times. Part B: What is the new area of the kite?

• 96 cm²

• 768 cm²

• 384 cm²

• 192 cm²

The area of a regular polygon is 270 ft². If the apothem is reduced by one third, which TWO statements accurately describe the effects of this change?

• A. The change will reduce the area by one third.

• B. The change will reduce the perimeter by one third.

• C. The change has no effect on the perimeter.

• D. The change will reduce the area by one fourth.

• E. The change will reduce the area by one ninth.

Polygon A is similar to polygon B. If polygon A has an area of 1,088 cm² and polygon B has an area of 68 cm², how many times larger is polygon A than polygon B?

• Polygon A is three times larger than polygon B.

• Polygon A is nine times larger than polygon B.

• Polygon A is four times larger than polygon B.

• Polygon A is sixteen times larger than polygon B.

Similar polygons are ______.

• the same shape and size

• the same shape but not necessarily the same size

The polygons in each pair are similar . Find the scale factor of the smaller to the larger figure .

The polygons in each pair are similar . Find the value of x .

The polygons in each pair are similar . Find the value of x .

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