What is the perimeter of triangle STR? - ProProfs Discuss

What is the perimeter of triangle STR? In triangle STR, QP and TR are parallel.┬а If SQ = 6 units and QT = 24 units, and the perimeter of triangle SQP is 20 units.

A. 80 units
B. 100 units
C. 320 units
D. 500 units

This question is part of Exit TAKS Review Part 2
Asked by Ssexton, Last updated: Feb 23, 2020

Chris Kenway

Chris Kenway, Content Writer, Jacksonville

The correct answer to this question is B, 100 units. The word problem helps us find the answer, because we know that QP and TR are parallel. From there, we can know that ST is 30 units. This can be found by adding together QT, 24 units plus SQ, 6 units, which is 30 units.

The question also informs us that SQP is 20 units. With all of this information, the answer can be found with the formula, SQ/ST = PerimiterSQP/PerimiterSTR. Using the numbers provided, the formula becomes 6/30 = 20/PerimiterSTR => PerimiterSTR , which equals the answer of 100 units.

John Smith

John Smith

100 units

Set up a proportion of leg is to perimeter as total leg is to total perimeter.