Question

Pls help! 50 points!

Answer 1

The total length of the two sides and the length of the third side is 7x² + x + 1 and 4x³ - 10x² - x - 7 respectively

Perimeter of rectangle

• Side 1: 8x² − 5x − 2

• Side 2: 7x − x² + 3

• Perimeter = 4x³ − 3x² + 2x − 6

Total length of side 1 and 2 = (8x² − 5x − 2) + (7x − x² + 3)

= 8x² - 5x - 2 + 6x - x² + 3

= 7x² + x + 1

Length of the third side = perimeter - Total length of side 1 and 2

= (4x³ − 3x² + 2x − 6) - (7x² + x + 1)

= 4x³ - 3x² + 2x - 6 - 7x² - x - 1

= 4x³ - 10x² - x - 7

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