A quadrilaterals smallest side measures 29 mm and it largest side measures 38 mm. A similar quadrilateral largest side measures 95 mm. What is the measures of its smallest side
In a similar quadrilateral, corresponding sides are proportional. Since the largest side in the first quadrilateral (38 mm) corresponds to the largest side in the second quadrilateral (95 mm), we can set up the proportion:
38 mm / 29 mm = 95 mm / x
Cross-multiplying, we get:
38 mm * x = 29 mm * 95 mm
Dividing by 38 mm, we have:
x = (29 mm * 95 mm) / 38 mm
Simplifying, we find:
x = 2775 mm / 38 mm
x ≈ 73.03 mm
Therefore, the smallest side in the second quadrilateral measures approximately 73.03 mm.