Question

Question
Find the diagonal length of a rectangular painting with dimensions of 36 inches by 48 inches.(1 point)
The length of the diagonal is
inches.

Answer 1

To find the length of the diagonal of a rectangular painting, you can use the Pythagorean theorem. The formula for the diagonal \( d \) of a rectangle with length \( l \) and width \( w \) is:

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

In this case, the dimensions of the painting are 36 inches (width) and 48 inches (length). Plugging in these values:

\[
d = \sqrt{36^2 + 48^2}
\]

Calculating \( 36^2 \) and \( 48^2 \):

\[
36^2 = 1296
\]
\[
48^2 = 2304
\]

Now add these two results:

\[
d = \sqrt{1296 + 2304} = \sqrt{3600}
\]

Finally, calculate the square root:

\[
d = 60
\]

Therefore, the length of the diagonal is **60 inches**.