Question

The points J, K, L and M all lie on the same line segment, in that order, such that the ratio of JK : KL : LM is equal to 2:1:2. If JM=30, find JL.

Answer 1

JKLM forms a line segment. In this, the ratio of JK : KL : LM is equal to 2:1:2. We know that JM = 30 cm.

JK = 2x

KL = x

LM = 2x

JM = JKLM = 30 cm

JL (JK + KL) = 2x + x = 3x

So,

JL + LM = JKLM

3x + 2x = 30

5x = 30

x = 30/5

x = 6.

JL = 3x = 3 × 6 = 18 cm.

=》 JL = 18 cm.

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