The rectangle below has an area of x^2-7x+10square meters and a width of x - 5 meters. What expression represents the length of the rectangle below? length=_____ meters.

Answer:L = (x - 2) metersStep-by-step explanation:The area of the rectangle = (x² - 7x + 10) m²The width = (x - 5) mlength = ?Area of a rectangle = length × widthx² - 7x + 10 = L(x -5)note L = lengthdivide both sides by (x-5)(x² - 7x + 10)/(x - 5) = LL = x² - 7x + 10 / (x -5)Factorize x² - 7x + 10find the numbers you can multiply to give you 10 and also add to give you -7The numbers are -2 and -5. Therefore,x² - 2x - 5x + 10 = 0x(x - 2) - 5(x - 2) = 0(x-5)(x-2) = 0Let us go back to our divisionL = x² - 7x + 10 / (x -5)x² - 7x + 10 = (x-5)(x-2)L = (x-5)(x-2) / (x -5)L = (x - 2) meters