# A square has a perimeter of 48 centimeters. The square is dilated by a factor of 1.5. what is the length of each side of the new square?

May 7, 2018

72 cm.

#### Explanation:

The perimeter is $48 c m .$ Dilating something by a factor of $1.5$ just means multiplying it by $1.5$. The new perimeter will be one and a half times the size of the old perimeter.
The old perimeter was $48 c m$. Half that is $24 c m .$ $48 + 24 = 72 c m .$

or

$48 c m . \left(1.5\right) = 72 c m .$