Answer:
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:
![\frac{x^2}{3^2}=\frac{9}{1}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7B3%5E2%7D%3D%5Cfrac%7B9%7D%7B1%7D)
![\frac{x^2}{9}=\frac{9}{1}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7B9%7D%3D%5Cfrac%7B9%7D%7B1%7D)
![x^2=9\cdot 9](https://tex.z-dn.net/?f=x%5E2%3D9%5Ccdot%209)
![x^2=81](https://tex.z-dn.net/?f=x%5E2%3D81)
Take positive square root as length cannot be negative:
![\sqrt{x^2}=\sqrt{81}](https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E2%7D%3D%5Csqrt%7B81%7D)
![x=9](https://tex.z-dn.net/?f=x%3D9)
Therefore, the length of the shortest side of the similar quadrilateral would be 9 units.
Answer:
Step-by-step explanation:
Answer:
-3x
Step-by-step explanation:
-3 is the coefficient and x is the variable.
Answer:
what do you want me to do?
Step-by-step explanation:
Answer:
its the second one
Step-by-step explanation: