Answer:
the length of the missing side is 12 units
Step-by-step explanation:
bcs both shapes are similar, we can determine the scale factor to find the missing length's value
consider the missing value as "x"
make sure when writing the scale factors, the sides of the shape correspond (like in shape 1, the side which is 40 units corresponds to the side which its length is 32 units)
↓↓
shape 1 = 15/40
shape 2 = x/32
we can now say
15/40 = x/32 bcs the shapes are similar
to find x, use algebraic methods by moving 32 to the other side
15/40 × 32 = x
now multiply to get the value of x
15/40 × 32 = 12
x = 12 units
