Question

What is the missing length?
c
9.7 in
14.6 in
area=180.31 in2
c=
inches

Answer 1

To find the missing length \( c \), we need to determine which two dimensions create the specified area of 180.31 square inches.

Given:
- One dimension = 9.7 inches
- Other dimension = 14.6 inches
- Area = 180.31 square inches

The area \( A \) of a rectangle is calculated by:
\[
A = \text{length} \times \text{width}
\]

Substituting the known values:
\[
180.31 = 9.7 \times c
\]

To find \( c \), we can rearrange the equation:
\[
c = \frac{180.31}{9.7}
\]

Calculating \( c \):
\[
c \approx \frac{180.31}{9.7} \approx 18.60 \, \text{inches}
\]

So, the missing length \( c \) is approximately **18.60 inches**.