Question

Find the area of the figure. Use π=3.14 and round your answer to the nearest hundredth if required. 10 in 4 in

Answer 1

To find the area of the figure, we first need to identify what shape it is. Given the dimensions you've provided (10 inches and 4 inches), this could either be a rectangle or a circle, among other shapes. However, based on the context of the dimensions, it seems likely that you are dealing with either a rectangle or a circle.

Let's calculate the area for both possibilities:

### 1. Area of a Rectangle
If the dimensions (10 in and 4 in) represent the length and width of a rectangle, the area \( A \) can be calculated using the formula:

\[
A = \text{length} \times \text{width} = 10 \, \text{in} \times 4 \, \text{in} = 40 \, \text{in}^2
\]

### 2. Area of a Circle
If instead these dimensions refer to the diameter and radius of a circle, then we use the following formulas:

- The radius \( r \) is half the diameter. If 10 inches is the diameter, then:
\[
r = \frac{10 \, \text{in}}{2} = 5 \, \text{in}
\]

The area \( A \) of a circle can be found using the formula:
\[
A = \pi r^2
\]
Substituting the values:
\[
A = 3.14 \times (5 \, \text{in})^2 = 3.14 \times 25 \, \text{in}^2 = 78.5 \, \text{in}^2
\]

### Conclusion
1. If the dimensions refer to a rectangle, the area is **40 in²**.
2. If the dimensions refer to a circle with a diameter of 10 inches, the area is **78.5 in²**.

Please confirm which shape you would like to calculate or provide additional context if necessary!