A sports arena is built in the shape of a regular pyramid with a square base. The amount of paint needed to cc is proportional to the lateral surface area. The distance from the peak to the center of the base is 120 meters, from the peak to the midpoint of each side of the base is 169 meters, and the length of each side of the base is What is the lateral surface area of the sports arena in square meters?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.2: Pyramids, Area, And Volume
Problem 29E
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I have a pyramid geometry question.

A sports arena is built in the shape of a regular pyramid with a square base. The amount of paint needed to coat the exterior
is proportional to the lateral surface area. The distance from the peak to the center of the base is 120 meters, the distance
from the peak to the midpoint of each side of the base is 169 meters, and the length of each side of the base is 238 meters.
What is the lateral surface area of the sports arena in square meters?
80, 444 m
2
2
160, 888 m
2
57, 120 m
2
20, 111 m
Transcribed Image Text:A sports arena is built in the shape of a regular pyramid with a square base. The amount of paint needed to coat the exterior is proportional to the lateral surface area. The distance from the peak to the center of the base is 120 meters, the distance from the peak to the midpoint of each side of the base is 169 meters, and the length of each side of the base is 238 meters. What is the lateral surface area of the sports arena in square meters? 80, 444 m 2 2 160, 888 m 2 57, 120 m 2 20, 111 m
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