Question

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.

Answer 1

❄️____nancy Rock____❄️

♥️__i am sleepy good night guys __♥️

Answer 2

Answer:

9

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 m/n, then the proportion of their area is m²/n².

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

X²/3²= 9/1

X²/9=9/1

X²=81

Take positive square root as length cannot be negative:

X=√81

X=9

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