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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
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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

User Zakalwe
by
8.1k points

2 Answers

1 vote

Answer:

135 units

Explanation:

User Quiescent
by
8.3k points
3 votes
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

User Emmanuelle Gouillart
by
7.5k points
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