The scale factor is 3 and the value of the unknown variable of the larger floor is 36 ft and this can be determined by using the given data.
Given :
- Two-stage floors are in the shape of isosceles trapezoids.
- The small stage floor in the drama room is geometrically similar to the large stage floor in the auditorium.
a) Let the scale factor be 'y'. So, the value of 'y' can be calculated as:
[tex]\begin{aligned}\\24 &= y \times 8\\y &= 3\\\end{aligned}[/tex]
So, the scale factor is 3.
b) The value of the unknown variable of the larger floor is calculated as:
[tex]\begin{aligned} \\12\times y &= x\\12\times 3& = x\\x&= 36\\\end{aligned}[/tex]
So, the value of the unknown variable of the larger floor is 36 ft.
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https://brainly.com/question/8765466
