A quadrilateral’s smallest side measures 29 mm and its largest side measures 38 mm. A similar quadrilateral’s largest side measures 95 mm. What is the measure of its smallest side?(1 point)
To find the measure of the smallest side of the similar quadrilateral, we can use the concept of ratios.
If the largest side of the original quadrilateral measures 38 mm and the largest side of the similar quadrilateral measures 95 mm, then the ratio of their lengths is 95/38.
Since the quadrilaterals are similar, the ratios of the corresponding sides are equal.
Let x be the measure of the smallest side of the similar quadrilateral.
Setting up the ratio, we can write:
x/29 = 95/38
To solve for x, we can cross multiply and solve for x:
38x = 29 * 95
38x = 2755
Dividing both sides of the equation by 38, we find:
x = 2755/38
x ≈ 72.5 mm
Therefore, the measure of the smallest side of the similar quadrilateral is approximately 72.5 mm.