Scale Factor Area Problems

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.

Each side length of the rectangle at the right is multiplied by a scale factor of 4. What is the new area?

• 1344

• 84

• 336

• 152

Janice made a cake for her nephew's birthday. It measures 9 inches by 16 inches. She found out this will be a huge celebration and decided to double the width and length of the cake. What is the area of the new cake?

• 24 square inches

• 144 square inches

• 288 square inches

• 576 square inches

Each side length of the rectangle at the right is multiplied by 3. What is the new area?

• 1296

• 432

• 48

• 144

solve number 1

Mathematical Equivalence

ON

If the scale factor is 4, what is the measurement of x?

• 20 m

• 24 m

• 16 m

• 4 m

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

• 21

• 1.25

• 20

• 4

If the scale factor is 4, what is the measurement of x?

• 20 m

• 24 m

• 16 m

• 4 m

Each side length of the rectangle at the right is multiplied by a scale factor of 2. What is the new area?

• 1380

• 345

• 690

• 146

Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, what is the actual distance between the 2 cities?

• 87 km

• 216 km 

• 33 km

• 192 km