Answer:
x = 6
Explanation:
You want to find the value of x for similar triangles JKL and QRS, where JK=84, KL=91, QR=4x, RS=26.
Proportion
Corresponding sides of similar triangles are proportional.
JK/KL = QR/RS
84/91 = 4x/26
(26/4)(84/91) = x = 6
The value of x is 6.
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Additional comment
The shorter:longer side length ratios in the two triangles are 12:13. This means 4x=24, or x=6.
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