15 points+ brainliest please, i really need this and it’s due tonight

Step-by-step explanation:

By Pythagoras' Theorem, (√74)^2 = 7^2 + (0.5x)^2.

=> 74 = 49 + (0.5x)^2, (0.5x)^2 = 25, 0.5x = 5, x = 10.

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)

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step-by-step explanation: