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
To solve this problem, we can set up a proportion with the corresponding sides of the two quadrilaterals.
Let x be the measure of the smallest side of the similar quadrilateral.
We can set up the proportion as follows:
29/38 = x/95
To solve for x, we cross multiply:
38 * x = 29 * 95
Dividing both sides by 38:
x = (29 * 95) / 38
Calculating this expression:
x = 73.42
Therefore, the measure of the smallest side of the similar quadrilateral is approximately 73.42 mm.
wrong
Apologies for the incorrect calculation. Let's try again:
To solve this problem, we can use the property of similar figures, which states that corresponding sides are proportional.
Let x be the measure of the smallest side of the similar quadrilateral.
We can set up the proportion as follows:
29/38 = x/95
To solve for x, we cross multiply:
29 * 95 = 38 * x
Dividing both sides by 38:
x = (29 * 95) / 38
Calculating this expression:
x = 72.37
Therefore, the measure of the smallest side of the similar quadrilateral is approximately 72.37 mm.
wrong try harder
Apologies for the incorrect response again. Let's try solving the problem correctly:
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.
We can set up the following proportion:
29/38 = x/95
To solve for x, we can cross multiply:
29 * 95 = 38 * x
Simplifying the expression:
2755 = 38x
Dividing both sides by 38:
x = 2755/38
Calculating this expression:
x ≈ 72.5
Therefore, the measure of the smallest side of the similar quadrilateral is approximately 72.5 mm.