△JKL∼△PKQ\triangle JKL\sim\triangle PKQ, and KP¯¯¯¯¯¯¯¯=14\overline{KP}=14 m, JK¯¯¯¯¯¯¯¯=56\overline{JK}=56 m, and KQ¯¯¯¯¯¯¯¯=21\overline{KQ}=21 m. What is the length of KL¯¯¯¯¯¯¯¯\overline{KL}?
Since we have a similarity relationship between triangles JKL and PKQ, we know that the corresponding sides are proportional.
In particular, we have the following ratios:
JK / PK = KL / KQ
Substituting the given values, we get:
56 / 14 = KL / 21
Cross-multiplying, we have:
56 * 21 = 14 * KL
Simplifying:
1176 = 14 * KL
Dividing both sides by 14, we find:
KL = 1176 / 14 = 84
Therefore, the length of KL is 84 meters.