The length and the width of the rectangle are 22 inches and 16 inches respectively
The given parameters are:
Length = 6 inches + width
Perimeter = 76 inches
The perimeter is calculated as:
Perimeter = 2 * (Length + Width)
This gives
76 inches = 2 * (6 inches + Width + Width)
Divide through by 2
38 inches = 6 inches + Width + Width
Evaluate the like terms
2 * Width = 32 inches
Divide both sides by 2
Width = 16 inches
Substitute Width = 16 inches in Length = 6 inches + width
Length = 6 inches + 16 inches
Evaluate
Length = 22 inches
Hence, the length and the width of the rectangle are 22 inches and 16 inches respectively
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