A quadrilateral 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

Answer 1

To find the measure of the smallest side of the similar quadrilateral, we need to use the concept of similarity.

If two quadrilaterals are similar, it means that their corresponding sides are proportional.

Let's denote the measure of the smallest side of the similar quadrilateral as x mm.

According to the given information, the ratio of the corresponding sides of the quadrilaterals is as follows:

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

Cross-multiplying, we get:

38 * x = 29 * 95

Simplifying:

38x = 2755

Dividing both sides by 38, we find:

x = 2755 / 38 ≈ 72.5 mm

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