Question

if these two shapes are similar, what is the measure of the missing length u?
4 in
2 in
1 in
u =
inches

Explanation:

Step1: Find the scale factor

The small rectangle has sides 1 in and 2 in; the large rectangle has a side 4 in corresponding to the small side 2 in. Scale factor = $\frac{4}{2} = 2$.

Step2: Calculate u

The side u corresponds to the small side 1 in. So $u = 1 \times 2 = 2$.

Answer:

2 inches