Find the perimeter of the given figure.
left parenthesis negative 9 x squared plus 9 x right parenthesis feet
left parenthesis 8 x minus 6 right parenthesis feet
left parenthesis 5 x squared plus 5 right parenthesis feet
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Part 1
Perimeterequalsleft parenthesis nothing right parenthesis feet
(Simplify your answer.)
The perimeter of the given figure can be found by adding up the lengths of all the sides.
The length of the first side is -9x² + 9x feet.
The length of the second side is 8x - 6 feet.
The length of the third side is 5x² + 5 feet.
The perimeter is given by the sum of these lengths:
Perimeter = (-9x² + 9x) + (8x - 6) + (5x² + 5)
Simplifying the expression, we have:
Perimeter = -9x² + 9x + 8x - 6 + 5x² + 5
Combining like terms:
Perimeter = (-9x² + 5x²) + (9x + 8x) + (-6 + 5)
Perimeter = -4x² + 17x - 1
Therefore, the perimeter of the given figure is -4x² + 17x - 1 feet.