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)

9 answers

We know that the ratio between the sides of the two similar quadrilaterals is the same. So, if the smallest side of the first quadrilateral measures 29 mm and the largest side measures 38 mm, the ratio between their sides is 38/29.

We also know that in the second quadrilateral, the largest side measures 95 mm. To find the measure of the smallest side, we can set up a proportion:

38/29 = 95/x

Cross multiplying, we get:

38x = 95(29)
38x = 2755

Dividing both sides by 38, we find:

x = 2755/38

This simplifies to:

x = 72.5

Therefore, the measure of the smallest side of the similar quadrilateral is 72.5 mm.
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