A quadrilateral's smallest sod measures 29 mm and it's largest side measures 38 mm a similar quadrilateral's largest size measures 95 mm what is the measure of its smallest side

Answer 1

To find the measure of the smallest side of the similar quadrilateral with a largest side of 95 mm, we need to use the concept of similarity.

In similar figures, corresponding sides are proportional. We can set up a proportion using the largest and smallest sides of the two quadrilaterals:

38 mm / 29 mm = 95 mm / x

Cross-multiplying gives us:

38 mm * x = 29 mm * 95 mm

Now, we can solve for x:

x = (29 mm * 95 mm) / 38 mm

Simplifying, we get:

x = 71.84210526315789 mm

Therefore, the measure of the smallest side of the similar quadrilateral is approximately 71.84 mm.