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)

mm
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3 answers

To find the measure of the similar quadrilateral's smallest side, we can set up a proportion using the corresponding sides of the two quadrilaterals.

Let x be the measure of the smallest side of the similar quadrilateral.

Using the ratio of corresponding sides, we have:

29 mm / 38 mm = x mm / 95 mm

Cross-multiplying and solving for x, we get:

38 * x = 29 * 95

x = (29 * 95) / 38

x ≈ 72.368421053 mm

Therefore, the measure of the smallest side of the similar quadrilateral is approximately 72.37 mm.
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I apologize for the confusion. Let's solve it correctly:

Let the measure of the smallest side of the similar quadrilateral be x mm.

We can set up a proportion using the corresponding sides:

29 mm / 38 mm = x mm / 95 mm

Cross-multiplying, we get:

29 * 95 = 38 * x

2755 = 38x

Dividing both sides by 38, we get:

x = 2755 / 38

x ≈ 72.5

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