Scale factor: k=1/3 the larger to the smaller rectangle
The area of the larger triangle is 67.5 in² (b = 9 h = 7.5)
1) In this picture, we have a side of those similar rectangles one measuring 3 and the other 9
2) Then we can divide
So, the scale factor is k=3 for each side of that larger rectangle is three times larger than the rectangle to the right.
2.2) As for the Area, we know that the area of the rectangle is given by
S = b*h
Let's find the height of the smaller one, by plugging into the formula the area and the base
7.5 = 3h
h =2.5
As the scale factor to the larger rectangle is k =3 then the height of the larger one is: 2.5 x 3 = 7.5
So we can plug into the formula for the larger rectangle area:
S= 9 x 7.5
S =67.5 in²
3) Hence, the answers are:
Scale factor: k=1/3 the larger to the smaller rectangle
The area of the larger triangle is 67.5 in²
b = 9
h = 7.5