Answer:
The proportion that is correctly set up to find the missing dimension of the enlarged trapezoid is given as
(2/3.25) = (x/6.5)
In words, this is
StartFraction 2 over 3.25 EndFraction = StartFraction x over 6.5
Explanation:
The dimensions of the small trapezoid include a top side length of 2 cm and a bottom side length of 3.25 cm
And the enlarged trapezoid (of the small trapezoid) has a top side length of x cm and a bottom side length of 6.5 cm.
Since enlarging uses the same scale factor for all of the sides of any enlarged shape, if we name the top side length and the bottom side length of the small trapezoid a and b respectively and name the top side length and the bottom side length of the enlarged trapezoid A and B respectively.
Because the scale factor for enlargment is constant for all sides, these four quantities will be related thus
(a/A) = (b/B)
a = 2 cm
A = x cm
b = 3.25 cm
B = 6.5 cm
(2/x) = (3.25/6.5)
which can be rewritten after mathematical rearrangement as
(2/3.25) = (x/6.5)
In words, this is
StartFraction 2 over 3.25 EndFraction = StartFraction x over 6.5
Hope this Helps!!!