Sure, let's solve this step by step.
1. Identify the given values:
- The width of the rectangle is 2.3 inches.
- The rectangle is twice as long as it is wide. This tells us the relationship between the length and the width.
2. Determine the length of the rectangle:
- Since the length is twice the width, we can find the length by doubling the width.
- Length = 2 * Width
- Substitute the given width (2.3 inches) into the formula:
[tex]\[
\text{Length} = 2 \times 2.3 \text{ inches} = 4.6 \text{ inches}
\][/tex]
3. Calculate the area of the rectangle:
- The area of a rectangle is found by multiplying the width by the length.
- Area = Width * Length
- Substitute the known values (width = 2.3 inches, length = 4.6 inches) into the formula:
[tex]\[
\text{Area} = 2.3 \text{ inches} \times 4.6 \text{ inches} = 10.579999999999998 \text{ square inches}
\][/tex]
So, the area of the rectangle is [tex]\( 10.579999999999998 \)[/tex] square inches.
