Help plz ASAP , geometry

Step-by-step explanation:

Use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the sides and c is the hypotenuse (longest side)

a^2 + 7^2 = 8^2

a^2 + 49 = 64

a^2=15

Now take the square root of 15 which is about 3.8

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)