Question

these two shapes are similar. find q.
7 cm
21 cm
2 cm
q
q = \boxed{} centimeters

Explanation:

Step1: Set up proportion for similar shapes

Since the shapes are similar, the ratios of corresponding sides are equal. So, $\frac{7}{2}=\frac{21}{q}$.

Step2: Cross - multiply to solve for q

Cross - multiplying gives $7\times q = 2\times21$.
Simplify the right side: $7q = 42$.

Step3: Divide both sides by 7

Divide both sides of the equation $7q = 42$ by 7: $q=\frac{42}{7}$.
Simplify the fraction: $q = 6$.

Answer:

6