Anyone know the answer please

As radius is perpendicular to tanget ,

BC is perpendicular to AB

By pythagoras theorem:

x² = (9 + x)² - 15²

x² = 81 + 18x + x² - 225

18x = 225 - 18

x = 207/18 = 11.5

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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