25 points! The perimeter of a playing field for certain sport is 250ft. The field is a rectangle, and the length is 43ft longer than width. Find the dimensions. ...the width of the playing field is . Show steps please.

560

step-by-step explanation:

giggidy

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)