What is the value of x?

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x = 5

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of squares on the other 2 sides, that is

x² + 12² = 13²

x² + 144 = 169 ( subtract 144 from both sides )

x² = 25 ( take the square root of both sides )

x = = 5

x = 25

Step-by-step explanation:

We are given a right angled triangle and we are to find the value of x.

For that, we will use the Pythagoras Theorem.

Taking square root on both sides to get:

x = 25

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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step-by-step explanation:

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