ABC has side lengths of 10 units, 20 units, and 24 units. XYZ is similar to ABC and its longest side is 60 units in length. What is the perimeter of XYZ?

162 units

150 units

135 units

125 units

90 units

The longest side of XYZ is 60 and for ABC it is 24. So, XYZ's sides are 2.5 times longer than ABC's. The other XYZ sides are

20 * 2.5 = 50 and

10*2.5 = 25

XYZ Perimeter = 60 + 50 + 25 = 135 units.

Double Check

ABC's Perimeter = 10+20+24 = 54

XYZ'x Perimeter = 54 * 2.5 = 135