# A square has a perimeter of 28 cm. All dimensions are increased by a scale factor of 3 to create a similar figure. What would be the perimeter of the new figure?

Apr 23, 2018

84cm

#### Explanation:

First, find the length of one side of the square. You do this by dividing the perimeter by 4 to find the individual lengths.

$\frac{28}{4} = 7$

Therefore each side of the square is 7cm long. You are increasing all sides by a scale factor of 3. This gives each side a length of 21cm.

$7 \times 3 = 21$

To find the new perimeter you need to multiply one side of the square by 4. Therefore the perimeter will be 84cm.

$4 \times 21 = 84$