Scale Factor with Area

If the linear scale factor is 4, what is the area scale factor?

• 2

• 8

• 16

• 25

A scale factor of 2 is used to enlarge the dimensions of a square. What is the effect of this change on the area of the square?

• The area will be half as big.

• The area will be twice as large.

• The area will be 4 times larger.

• The area will be 8 times larger.

• The area will not change.

If the scale factor is 5, how times larger will the area of the big square be compared to the smaller square?

• 5

• 20

• 25

The area of the larger square is __________ times larger than the area of the smaller square.

• 1/2

• 1

• 2

• 4

solve number 1

Mathematical Equivalence

ON

The two rectangles are scale drawings. What is the measurement of x?

• 21

• 1.25

• 20

• 4

What is one way to determine how much the area would increase using a scale factor of 3?

• take the scale factor and square it to get 3x3=9

• add all of the sides together then multiply by 3

• multiply the area of the smaller rectangle by 3

To find the area of the second figure, you multiply ________________.

• length x width 

• perimeter x perimeter

• scale factor x scale factor

The original area of a rectangle is 25cm² , if we enlarge it by a scale factor of 6 what is the new area?

• 150

• 900

• 5400

If the area of a rectangle was 20in² and now it is is 980in², what is the scale factor that was used?

• 49

• 7

• 3.66