a quadrilaterals smellest side measures 29 mm and it largest side measures 38mm. a similar quadrilaterals largest side measures 95 mm. what is the measure of irs smallest side.

1 answer

To find the measure of the smallest side of the similar quadrilateral, we can set up a proportion using the given information.

Let x be the measure of the smallest side of the similar quadrilateral. The ratio of the largest to the smallest side in the first quadrilateral is 38:29, and in the similar quadrilateral it is 95:x.

Setting up the proportion:

38/29 = 95/x

Cross multiplying:

38x = 29 * 95
38x = 2755
x = 2755 / 38
x ≈ 72.5

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