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Sagot :
To solve this problem, let's follow a step-by-step approach to find the expression representing the perimeter of the second rectangle and then combine it with the perimeter of the first rectangle.
1. Given Expressions:
- First rectangle perimeter: \( 6x + 8 \)
- Second rectangle perimeter: Out of the options provided, we need to select the correct one. The correct perimeter expression for the second rectangle is: \( 18x + 4y + 7 \)
2. Combine the two perimeters:
- First rectangle perimeter: \( 6x + 8 \)
- Second rectangle perimeter: \( 18x + 4y + 7 \)
To find the combined perimeter, we add the two expressions:
[tex]\[ (6x + 8) + (18x + 4y + 7) \][/tex]
3. Perform the Addition:
- Combine like terms:
- \( 6x \) and \( 18x \) are like terms.
- \( 8 \) and \( 7 \) are constants.
- \( 4y \) remains as is since there is no corresponding \( y \) term in the first expression.
[tex]\[ 6x + 18x + 4y + 8 + 7 \][/tex]
Simplify the expression:
[tex]\[ (6x + 18x) + 4y + (8 + 7) = 24x + 4y + 15 \][/tex]
Therefore, the combined perimeter of the two rectangles is:
[tex]\[ 24x + 4y + 15 \][/tex]
1. Given Expressions:
- First rectangle perimeter: \( 6x + 8 \)
- Second rectangle perimeter: Out of the options provided, we need to select the correct one. The correct perimeter expression for the second rectangle is: \( 18x + 4y + 7 \)
2. Combine the two perimeters:
- First rectangle perimeter: \( 6x + 8 \)
- Second rectangle perimeter: \( 18x + 4y + 7 \)
To find the combined perimeter, we add the two expressions:
[tex]\[ (6x + 8) + (18x + 4y + 7) \][/tex]
3. Perform the Addition:
- Combine like terms:
- \( 6x \) and \( 18x \) are like terms.
- \( 8 \) and \( 7 \) are constants.
- \( 4y \) remains as is since there is no corresponding \( y \) term in the first expression.
[tex]\[ 6x + 18x + 4y + 8 + 7 \][/tex]
Simplify the expression:
[tex]\[ (6x + 18x) + 4y + (8 + 7) = 24x + 4y + 15 \][/tex]
Therefore, the combined perimeter of the two rectangles is:
[tex]\[ 24x + 4y + 15 \][/tex]
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