Question 7 (1 point)
If the original perimeter of a shape is 4 cm and it is dilated by a scale factor of 5, the perimeter of the new shape would be
cm
NOTE: Type the number. Do NOT type the units.

The old perimeter is 4 and 4*5 = 20 is the new perimeter. We simply multiply the old perimeter by the scale factor. The units stay the same.

A more detailed break down would be that each piece of the shape gets stretched by the same factor, so each piece is 5 times larger than the original. If we had a square with side lengths 1, then the new side lengths would be 5. The old perimeter is 1+1+1+1 = 4 while the new perimeter is 5+5+5+5 = 20, which is five times larger than the old perimeter.

answer:   rlly

step-by-step explanation:

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)