a quadrilaterals smallest side measures 29 mm and its largest side measures 38 mm. a similar quadrilaterals largest side measures 95 mm. what is the measure of its smallest side
To find the measure of the smallest side of the similar quadrilateral, we can set up a proportion using the ratios of the corresponding sides.
Let's call the measure of the smallest side of the similar quadrilateral "x".
Using the given information, we can set up the proportion:
29 mm / x = 38 mm / 95 mm
Now, we can cross multiply and solve for x:
29 mm * 95 mm = 38 mm * x
2755 mm² = 38 mm * x
Divide both sides of the equation by 38 mm:
2755 mm² / 38 mm = x
x ≈ 72.5 mm
Therefore, the measure of the smallest side of the similar quadrilateral is approximately 72.5 mm.