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Answer :
To solve this problem, we need to find the areas of two rectangles and convert inches to centimeters. Here's how you can do it step-by-step:
### Part a: Area of the Rectangle
1. Identify the dimensions of the rectangle. We have one rectangle with sides measuring 4.6 and 0.9.
2. Calculate the area using the formula for the area of a rectangle: Area = length × width.
[tex]\[
\text{Area} = 4.6 \times 0.9
\][/tex]
3. After calculating, you'll find that the area of this rectangle is 4.14 square units.
### Part b: Area of Another Rectangle
1. Identify the dimensions of the second rectangle. This rectangle has sides of 16.5 and 0.7.
2. Calculate the area with the same formula as above: Area = length × width.
[tex]\[
\text{Area} = 16.5 \times 0.7
\][/tex]
3. After calculation, the area of this rectangle is approximately 11.55 square units.
### Part 4: Conversion of Inches to Centimeters
1. Note the length in inches you want to convert, which is 6.25 inches.
2. Use the conversion factor that 1 inch is approximately equal to 2.5 centimeters.
3. Perform the conversion by multiplying the number of inches by the conversion factor.
[tex]\[
\text{Length in centimeters} = 6.25 \times 2.5
\][/tex]
4. After performing the calculation, you find that 6.25 inches is approximately 15.625 centimeters.
These are the step-by-step solutions for calculating the areas of the rectangles and converting inches to centimeters.
### Part a: Area of the Rectangle
1. Identify the dimensions of the rectangle. We have one rectangle with sides measuring 4.6 and 0.9.
2. Calculate the area using the formula for the area of a rectangle: Area = length × width.
[tex]\[
\text{Area} = 4.6 \times 0.9
\][/tex]
3. After calculating, you'll find that the area of this rectangle is 4.14 square units.
### Part b: Area of Another Rectangle
1. Identify the dimensions of the second rectangle. This rectangle has sides of 16.5 and 0.7.
2. Calculate the area with the same formula as above: Area = length × width.
[tex]\[
\text{Area} = 16.5 \times 0.7
\][/tex]
3. After calculation, the area of this rectangle is approximately 11.55 square units.
### Part 4: Conversion of Inches to Centimeters
1. Note the length in inches you want to convert, which is 6.25 inches.
2. Use the conversion factor that 1 inch is approximately equal to 2.5 centimeters.
3. Perform the conversion by multiplying the number of inches by the conversion factor.
[tex]\[
\text{Length in centimeters} = 6.25 \times 2.5
\][/tex]
4. After performing the calculation, you find that 6.25 inches is approximately 15.625 centimeters.
These are the step-by-step solutions for calculating the areas of the rectangles and converting inches to centimeters.
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