Question

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

Answer 1

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

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

where \(w\) is the width and \(h\) is the height of the rectangle.

In this case, the dimensions of the painting are:

- Width \(w = 36\) inches
- Height \(h = 48\) inches

Plugging these values into the formula:

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

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

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

Now, add these values:

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

Finally, calculate the square root:

\[
d = 60
\]

Thus, the diagonal length of the painting is **60 inches**.