Tony is dusting a bookshelf that contains: • 8 poetry books
• 3 history books
• 5 thriller books
• 4 biographies
What is the probability that Tony will randomly select a biography, put it back on
the shelf, and then select a poetry book?

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

have a nice day!