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225

Step-by-step explanation:

The sides of the small square is 5 m

There are 5 full shaded squares and 8 half squares

Shaded squares = fully shaded small squares + half squares

S = F + H

F = 5x5x5 = 125

H = 8/2 x 5² = 100

S = 100 + 125

S = 225

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)