Question

The figures below are similar. What is c? 8 ft c 16 ft 44 ft

Answer 1

To find the value of \( c \) in the similar figures, we can use the property of similar figures, which states that the ratios of corresponding sides are equal.

Given the corresponding sides, we have:

- First figure: \( 8 \, \text{ft} \) and \( 16 \, \text{ft} \)
- Second figure: \( c \, \text{ft} \) and \( 44 \, \text{ft} \)

We can set up the proportion:

\[
\frac{8}{c} = \frac{16}{44}
\]

Now, simplify the right side of the equation:

\[
\frac{16}{44} = \frac{4}{11}
\]

Now we have:

\[
\frac{8}{c} = \frac{4}{11}
\]

Cross-multiplying gives us:

\[
8 \cdot 11 = 4 \cdot c
\]

This simplifies to:

\[
88 = 4c
\]

Now, divide both sides by 4:

\[
c = \frac{88}{4} = 22
\]

Thus, the value of \( c \) is \( 22 \, \text{ft} \).