The sides of a quadrilateral are 3, 4, 5, and 6. Find the length of the shortest side of a similar quadrilateral whose area is 9 times as great.

9 units.

Step-by-step explanation:

Let us assume that length of smaller side is x.

We have been given that the sides of a quadrilateral are 3, 4, 5, and 6. We are asked to find the length of the shortest side of a similar quadrilateral whose area is 9 times as great.

We know that sides of similar figures are proportional. When the proportion of  similar sides of two similar figures is , then the proportion of their area is .

We can see that length of smaller side of 1st quadrilateral is 3 units, so we can set a proportion as:

Take positive square root as length cannot be negative:

Therefore, the length of the shortest side of the similar quadrilateral would be 9 units.

1,8,15,22,29,36,43,50

step-by-step explanation: