The area of the model on the left is 12[tex]cm^{2}[/tex]
The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.
Scale Up (smaller to larger) = [tex]\frac{Larger figure measurement }{Smaller figure measurement}[/tex]
Scale Down (larger to smaller) = [tex]\frac{Smaller figure measurement }{larger figure measurement}[/tex]
According to question
area of right triangle which have (1cm= 2inch) is 108 [tex]cm^{2}[/tex] .
and Left triangle have (1cm= 6inch)
we will convert cm into inch for right triangle
area of right triangle = 108 [tex]cm^{2}[/tex]
as 1 cm = 2inch
1 [tex]cm^{2}[/tex] = 4 [tex]inch^{2}[/tex]
therefore,
108 [tex]cm^{2}[/tex] = 4 * 108 [tex]inch^{2}[/tex]
as mentioned that two different models of the same triangular handkerchief
and left triangle is 1 cm = 6 inch
1 [tex]cm^{2}[/tex] = 36 [tex]inch^{2}[/tex]
now we have to scale down as we have to larger to smaller
Scale Down (larger to smaller) = [tex]\frac{Smaller figure measurement }{larger figure measurement}[/tex]
= 4*108 / 36
= 12
Hence, the area of the model on the left is 12[tex]cm^{2}[/tex]
To know more about scale factor here :
https://brainly.com/question/26903822
# SPJ2
