Given:
Length = 8v7 + 4v5 inches
Width = 2v7 - 3v5 inches
To calculate the perimeter, we need to double the sum of the length and width:
Perimeter = 2(Length + Width)
Substituting the given values:
Perimeter = 2((8v7 + 4v5) + (2v7 - 3v5))
Simplifying inside the parentheses:
Perimeter = 2(8v7 + 2v7 + 4v5 - 3v5)
Combining like terms:
Perimeter = 2(10v7 + v5)
Distributing the 2:
Perimeter = 20v7 + 2v5
Therefore, the perimeter of the rectangle is 20v7 + 2v5 inche