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Step 1
<u>Find the value of TS</u>
we know that
if PQ is parallel to RS. then triangles TRS and TPQ are similar
so
solve for TS
we have
substitute
Step 2
<u>Find the value of SQ</u>
we know that
we have
substitute
therefore
<u>the answer is</u>
the value of SQ is
<h3><u>Answer:</u></h3>
- 30.5 units
We know that:
- <u>Trapezoid ABCD has one side that is 25 unit. </u>
- <u>The other 3 sides (AB, BC, and CD) are 12 units. </u>
- <u>EF = 6 units</u>
- <u>EH = 12.5</u>
- <u>Trapezoid ABCD is congruent to Trapezoid EFGH</u>
<em>If the 3 sides of the trapezoid ABCD are the same sides, then side EF, FG, GH must be of the same length because of congruence. The value of FG and GH must be the same length as EF. We can clearly see in the picture that EF is 6 units. Hence, EF is 6 units, FG is 6 units, and GH is 6 units. The work of the perimeter is shown below.</em>
<u>Work</u>
- => 6(3) + 12.5
- => 18 + 12.5
- => <u>30.5 units</u>
Hence, the perimeter of EFGH is 30.5 units.