Figure JKLMN and figure PQRST, shown below, are similar figures.The scale factor of figure JKLMN to figure PQRST is 3:2. If KL = 18 cm and MN = 30 cm, what is the length of side QR? A. 45 cm B. 12 cm C. 20 cm D. 27 cm
Question
Figure JKLMN and figure PQRST, shown below, are similar figures.The scale factor of figure JKLMN to figure PQRST is 3:2. If KL = 18 cm and MN = 30 cm, what is the length of side QR? A. 45 cm B. 12 cm C. 20 cm D. 27 cm
Solution
The problem states that the figures are similar and the scale factor from JKLMN to PQRST is 3:2. This means that every corresponding length in PQRST is 2/3 the size of the length in JKLMN.
The length of side KL in JKLMN is given as 18 cm. Since KL corresponds to QR in PQRST, we can find the length of QR by multiplying the length of KL by the scale factor 2/3.
So, QR = KL * (2/3) = 18 cm * (2/3) = 12 cm.
Therefore, the length of side QR is 12 cm. So, the answer is B. 12 cm.
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