Jamie and Carrie are trying to determine what size ladder they are going to need to paint the house the. The house is 25ft tall and the flower beds they have to put the ladder past 8 ft from the house. Jamss says the ladder should be 33 ft long. Carrie says it should be 26ft long who is correct? How do you know?​

Step-by-step explanation:

By the Pythagorean Theorem we know that the hypotenuse squared is equal to the sum of its squared sides.

h^2=x^2+y^2

Here y=25 and x=8 so

h^2=25^2+8^2

h^2=625+64

h^2=689

h=26.25 ft

They obviously rounded to nearest whole foot.

So Carrie is correct in saying the ladder should be 26 feet.

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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