A small rectangle has a width of 4 feet and a length of 10 feet. A larger, similar rectangle has a length of 12 feet. What is the perimeter of the larger rectangle?

33.6 feet

Step-by-step explanation:

Since the small rectangle has a width of 4 feet and a length of 10 feet. It simply means that the length is 2.5 times the width.

A larger, similar rectangle has a length of 12 feet. The width will be:

= 12 / 2.5

= 4.8 feet

The perimeter of the larger rectangle will then be:

= 2(Length + Width)

= 2(12 + 4.8)

= 2 × 16.8

= 33.6 feet

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)