Answer:
The answer is below
Step-by-step explanation:
From the image attached, the length of the bouncy castle is X² +4 and the width is 2x² - 3x +7
The bouncy castle is a rectangle. A rectangle is a quadrilateral in which opposite sides are equal and all the angles have equal measures. The diagonals of a rectangle also bisect each other. The perimeter of a rectangle = 2(length + breadth), Hence for the bouncy castle:
Perimeter of castle = 2(length + breadth) = 2(x² + 4 + (2x² - 3x +7)) = 2(3x² - 3x + 11) = 6x² - 6x + 22
Perimeter of castle = 6x² - 6x + 22
The area of the castle = length × breadth = x² + 4 × (2x² - 3x +7)) = 2x⁴ - 3x³ + 7x² + 8x² - 12x + 28 = 2x⁴ - 3x³ + 15x² - 12x + 28
