Question

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

Answer 1

135 units

Explanation:

Answer 2

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