# 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.

Step-by-step explanation:

Just did the lesson

## Related Questions

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The answer to 1 3/4 in decimal form is 1.75
1+ 3/4 =1+0.75
= 1.75

Ydx+(y-x)dy=0 Please be as thorough as possible when explaining this, I'm struggling very much trying to solve ODE's

Answer:  The required solution of the given differential equation is

Step-by-step explanation:  We are given to solve the following ordinary differential equation :

We will be using the following formulas for integration and differentiation :

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the price of a pen is rs 42 and of a notebook is Rs 18. calculate how many pen and notebook you can buy for Rs 480 if you want to buy an equal quantity of both​

x - quantity of pens and notebooks

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x(42+18)=480

60x=480

x=480/60=8

Check

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Consider the sequence 130, 143, 156, 169, ... Write an explicit formula to represent the arithmetic sequence and use it to find the 13th term.

a(n) = 130 + (n-1) 13

13th term = 286

Step-by-step explanation:

We are given a sequence of numbers: 130, 143, 156, 169, ... and we are to write an explicit formula to represent the arithmetic sequence and use it to find the 13th term.

We know that the arithmetic sequence can be defined by:

where = the common difference between consecutive terms ; and

=

13th term:

Therefore, the formula for this sequence will be a(n) = 130 + (n-1) 13 and 13th term is 286.

Undefined term which goes on forever in all directions and has no thickness

Would this be a line?

The expression

is equivalent to

Hi Mpmolina,

x² - 16
= (x)² - (4)²
= (x - 4)(x + 4)

Write using exponents -3m × n ×n

-3m*n^2 because n*n is n squared, and -3m is still there

A bag contains 5 blue balls, 4 red balls, and 3 orange balls. If a ball is picked from the bag at random, what is the probability that it is a blue ball? Answers have been rounded to the tenths place.