3/4.8=4/x 3x=19.2 x=6.4
Two quadrilaterals are similar if corresponding sides taken in the same sequence (even if clockwise for one quadriateral and counterclockwise for the other) are proportional and corresponding angles taken in the same sequence are equal in measure. If the quadrilaterals JKLM and PQRS are similar, then PQ J K = QR K L = RS L M = PS J M .
Hence QR 4 = 4.8 3 = 8 5 = 4.8 3 and QR = 5 4 ⋅ 8 = 6.4 .
To find the length of side QR in similar quadrilaterals J K L M and PQRS , you use the properties of similar figures which states that ratios of corresponding sides are equal. Setting up the ratio with known lengths, we find that QR = 6 .
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