The screen in the auditorium is 3 times as long as the screen in the library and a width 3 times as much the screen in the library is 3 meters long with a perimeter of 10

The perimeter of the auditorium is 30 meters

Step-by-step explanation:

The question is

What is the perimeter of the screen in the auditorium?

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

In this problem, the auditorium and the library are similar

Let

z ----> the scale factor

x ----> the perimeter of the auditorium

y ----> the perimeter of the library

so

we have

----> the scale factor is given

substitute

solve for x

therefore

The perimeter of the auditorium is 30 meters

For educational purposes

Find the width of the library

we know that

so

Find the dimensions of the auditorium

To find out the dimensions of the auditorium multiply by 3 (the scale factor) the dimensions of the library

so

Verify the perimeter

----> is correct

be more specific

step-by-step explanation:

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)