The design for the palladium window shown includes a semicircular shape at the top. The bottom is
formed by squares of equal size. A shade for the window will extend 4 inches beyond the perimeter of the
window, shown by the dashed line around the window. Each square in the window has an area of 324 in2.
Round your answers to the nearest whole number.
Part 1 out of 2
What is the area of the window? Use 3.14 for it. Round your answer to the nearest whole number.
The area of the window is
in?

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step-by-step explanation:

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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there is only one way to arrange all the eight relative to each other because they are not distinct. we have

now there are nine places to place an (and not more than one in one place).   because we have four symbols, we need to choose four of these nine places to insert an . order does not matter because the are not distinct.

thus there are 1 · c(9,4) ways, or, if we calculate it,

thus there are 126 ways to form such "words."