Question

the small rectangle was enlarged to create the big rectangle.
not drawn to scale
what is the missing measure on the big rectangle?
6 feet
10 feet
24 feet
30 feet

Explanation:

Step1: Set up proportion for scaling

Since the rectangles are similar (enlarged), the ratios of corresponding sides are equal. So, $\frac{2}{5} = \frac{12}{x}$.

Step2: Cross - multiply to solve for x

Cross - multiplying gives $2x = 5\times12$.

Step3: Calculate the right - hand side

$5\times12 = 60$, so the equation becomes $2x = 60$.

Step4: Solve for x

Divide both sides by 2: $x=\frac{60}{2}=30$.

Answer:

30 feet (corresponding to the option "30 feet")