Use the image to answer the question.
An illustration shows a pyramid with a rectangular base of length 8 feet and width 6 feet. The perpendicular height, drawn as a dotted line from the apex to the center of the base, is labeled 12 feet. The sides that are not visible are drawn in dashed lines.
What is the pyramid’s length?
(1 point)
ft.
The length of the pyramid can be found by calculating the diagonal of the rectangular base. Using the Pythagorean theorem, we have:
\( \text{Length}^2 = (\text{Base length})^2 + (\text{Base width})^2 \)
\( \text{Length}^2 = 8^2 + 6^2 \)
\( \text{Length}^2 = 64 + 36 \)
\( \text{Length}^2 = 100 \)
\( \text{Length} = \sqrt{100} \)
\( \text{Length} = 10 \)
Therefore, the pyramid's length is 10 feet.