Area Change in Dimension

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 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.

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.

A rectangle has a base 4 ft and height of 5 feet. If the figure dilated by a scale factor of 2, what will be true about its area?

• The area is doubled.

• The area is multiplied by 4.

• The area stays the same

What happens to the area of a figure when the dimensions are changed by x?

• The new area is x²

• The new area is 2x

• Nothing changes.

• There is not enough information to answer the question.

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)

The dimensions of the figure are doubled. Describe the change in area.

• The area is multiplied by two. The original area is 100 cm² and the new area is 200 cm².

• The area is multiplied by two. The original area is 112 cm² and the new area is 224 cm².

• The area is multiplied by four. The original area is 100 cm² and the new area is 400 cm².

• The area is multiplied by four. The original area is 112 cm² and the new area is 448 cm².

Suppose the dimensions of the figure are doubled. Describe the change in area.

• The area is multiplied by two. The original area is 48 ft² and the new area is 96 ft².

• The area is multiplied by two. The original area is 56 ft² and the new area is 112 ft².

• The area is multiplied by four. The original area is 48 ft² and the new area is 192 ft².

• The area is multiplied by four. The original area is 56 ft² and the new area is 224 ft².

Each length of the triangle is multiplied by 6. What is the new area?

• 15 yards squared

• 90 yards squared

• 180 yards squared

• 540 yards squared