Answer:
11.95 in
Step-by-step explanation:
We can find the slant height of a square-based pyramid by solving the area formula for the unknown value.
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The formula for the area of a square-based pyramid can be written ...
A = s(s +2h)
where s is the side of the square base, and h is the slant height.
Filling in the given values, we can solve for h:
111.6 = 4(4 +2h)
27.9 = 4 +2h . . . . . divide by 4
13.95 = 2 +h . . . . . divide by 2
11.95 = h . . . . . . . . subtract 2
The slant height of the figure is 11.95 inches.
