A gold, a silver, and a bronze medal are awarded for the 200-meter sprint Olympic event. Because each runner is distinct, the order in which the runners finish is important. Awarding the medals to the runners is a permutations. In how many possible ways can the medals be awarded for a 200-meter sprint in which there are 11 meters?

Explanation is in the file

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the answer is:

the lateral area is equal to

to find the lateral area of the square pyramid, first we need to find the perimeter of the base, and then, find the lateral area using the following formulas:

where,

s, is the base length

slant height, is the height of a the side of the pyramid

we are given:

now, calculating the perimeter of the base, we have:

then, calculating the lateral area:

hence, we have that the lateral area is equal to

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