2. A rectangular piece of metal is 10 inches wide and 14 inches long. a. What is the perimeter?
b. What is the area?

The perimeter is 48 inches and the area is 140.

Step-by-step explanation:

To get the perimeter i added 10+10 and 14+14 then added them together 20+28=48

To get the area i multiplied 10 and 14 to get 140

the solution is 12x-6y

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)