Area and Perimeter Changes in Dimension

The distance around an object is called the 

• area

• perimeter

• volume

• circumference

Describe the effect of change on the area of the rectangle if the base and height are both multiplied by 1/2.

• The area is multiplied by 1/2

• The area is multiplied by 1/4

• The area is multiplied by 2

• The area is green

Suppose the dimensions of a triangle with a perimeter of 18 units are doubled. Find the perimeter of the new triangle.

• 18

• 36

• 72

• 288

Suppose the side lengths of the figure are doubled. Describe the change in perimeter.

• The perimeter is multiplied by two. The perimeter of the original figure is 42 in and the new perimeter is 84 in.

• The perimeter is multiplied by two. The perimeter of the original figure is 11 in and the new perimeter is 22 in.

• The perimeter is multiplied by two. The perimeter of the original figure is 28 in and the new perimeter is 56 in.

• The perimeter is multiplied by two. The perimeter of the original figure is 22 in and the new perimeter is 44 in.

Suppose the dimensions were doubled. Describe the change in perimeter.

• The perimeter is multiplied by two. The original perimeter is 4368 cm and the new perimeter is 8736 cm.

• The perimeter is multiplied by two. The original perimeter is 65 cm and the new perimeter is 130 cm.

• The perimeter is multiplied by two. The original perimeter is 336 cm and the new perimeter is 672 cm.

• The perimeter is multiplied by two. The original perimeter is 259 cm and the new perimeter is 518 cm.

Suppose the dimensions are multiplied by five. Describe the change in area.

• The area is multiplied by 5. The original area is 2 cm² and the new area is 10 cm².

• The area is multiplied by 5. The original area is 1 cm² and thew new area is 5 cm².

• The area is multiplied by 25. The original area is 1 cm² and the new area is 25 cm².

• The area is multiplied by 25. The original area is 2 cm² and the new area is 50 cm².

Suppose the dimensions are multiplied by 3. Describe the change in perimeter.

• The perimeter is multiplied by 3. The original perimeter is 54 m and the new perimeter is 162 m.

• The perimeter is multiplied by 3. The original perimeter is 27 m and the new perimeter is 81 m.

• The perimeter is multiplied by 3. The original perimeter is 72 m and the new perimeter is 216 m.

• The perimeter is multiplied by 3. The original perimeter is 24 m and the new perimeter is 72 m.

A parallelogram has a height of 3 meters and a base of 5 meters. Suppose the dimensions are multiplied by 4. Describe the change in perimeter.

• The perimeter is multiplied by 4. The original perimeter is 16 m and the new perimeter is 64 m.

• The perimeter is multiplied by 4. The original perimeter is 8 m and the new perimeter is 32 m.

• The perimeter is multiplied by 4. The original perimeter is 15 m and the new perimeter is 60 m.

• The perimeter is multiplied by 4. The original perimeter is 4 m and the new perimeter is 16 m.

A triangle has a base of 5 inches and a height of 12 inches. Suppose the dimensions are multiplied by 4. Describe the change in area.

• The area is multiplied by 16. The original area is 60 in² and the new area is 960 in².

• The area is multiplied by 16. The original area is 34 in² and the new area is 544 in².

• The area is multiplied by 16. The original area is 30 in² and the new area is 480 in².

• The area is multiplied by 16. The original area is 15 in² and the new area is 240 in².

A trapezoid has bases 8 in and 12 in. The height is 5 in. Suppose these dimensions are multiplied by 3. Describe the change in area.

• The area is multiplied by 9. The original area is 50 in² and the new area is 450 in².

• The area is multiplied by 9. The original area is 120 in² and the new area is 1080 in².

• The area is multiplied by 9. The original area is 100 in² and the new area is 900 in².

• The area is multiplied by 9. The original area is 20 in² and the new area is 180 in².