Use the image to answer the question.

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d
h
Given 6 = 30 in., w = 20 in.,
h = 18 in., and x = 36.1 in., find the
length of d. Round the answer to the nearest tenth.

1 answer

To solve for the length of \( d \) using the given dimensions, we can use the Pythagorean theorem, assuming \( d \) represents the diagonal distance across a rectangular prism.

It seems that you might have a right triangle formed by \( w \), \( h \), and \( d \) as the hypotenuse. If this is the case, the equation can be set up as follows:

\[ d = \sqrt{w^2 + h^2} \]

Substituting the known values (where \( w = 20 \) in. and \( h = 18 \) in.):

\[ d = \sqrt{(20)^2 + (18)^2} \]

Calculating the squares:

\[ d = \sqrt{400 + 324} \] \[ d = \sqrt{724} \]

Now, we calculate the square root of 724:

\[ d \approx 26.9 \text{ in.} \]

So, rounding to the nearest tenth, the length of \( d \) is approximately 26.9 in.