Let the smaller quadrilateral have side lengths a, b, c, and d (in mm).
Given that the smallest side of this quadrilateral measures 29 mm, we have a = 29.
Given that the largest side of this quadrilateral measures 38 mm, we have d = 38.
Let the similar quadrilateral have side lengths A, B, C, and D (in mm).
Given that the largest side of this quadrilateral measures 95 mm, we have D = 95.
Since the two quadrilaterals are similar, their corresponding sides are proportional.
Therefore, we can set up the equation: a/A = b/B = c/C = d/D
Substituting the known values, we have 29/A = b/B = c/C = 38/95.
To find the value of the smallest side of the similar quadrilateral, we need to find the value of b.
From the equation 29/A = b/B, we can rearrange it to get b = (29/A) * B.
Substituting the known values, we have b = (29/A) * 95.
Therefore, the measure of the smallest side of the similar quadrilateral is given by b = (29/A) * 95 mm.
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??
[ ] mm
3 answers
wrong
Apologies for the mistake. Let's correct our approach.
We are given that the smallest side of the original quadrilateral measures 29 mm and the largest side measures 38 mm. Let's assume the corresponding sides of the similar quadrilateral are x mm and 95 mm.
Since the two quadrilaterals are similar, their corresponding sides are in proportion. We can set up the following equation:
(29 mm) / x = (38 mm) / (95 mm)
To find the measure of the smallest side of the similar quadrilateral, we solve for x.
Cross-multiplying the equation, we have:
(29 mm) * (95 mm) = (38 mm) * x
2755 mm^2 = 38 mm * x
Dividing both sides by 38 mm, we find:
x = 2755 mm^2 / 38 mm
x ≈ 72.5 mm
Therefore, the measure of the smallest side of the similar quadrilateral is approximately 72.5 mm.
We are given that the smallest side of the original quadrilateral measures 29 mm and the largest side measures 38 mm. Let's assume the corresponding sides of the similar quadrilateral are x mm and 95 mm.
Since the two quadrilaterals are similar, their corresponding sides are in proportion. We can set up the following equation:
(29 mm) / x = (38 mm) / (95 mm)
To find the measure of the smallest side of the similar quadrilateral, we solve for x.
Cross-multiplying the equation, we have:
(29 mm) * (95 mm) = (38 mm) * x
2755 mm^2 = 38 mm * x
Dividing both sides by 38 mm, we find:
x = 2755 mm^2 / 38 mm
x ≈ 72.5 mm
Therefore, the measure of the smallest side of the similar quadrilateral is approximately 72.5 mm.