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Geometry
A rectangle is twice as long as it is wide. If the width of the rectangle measures 2.3 inches, what is the area of the rectangle?
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.
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