# Geometry

Determine the slant height of a right pyramid whose lateral area is 90 ft^2 and whose base is a regular hexagon with a 3 ft side.

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1. The lateral area of a pyramid can be calculated by the following formula:

Area, A = pa/2
p=permimeter of the base polygon
a=apothem of the pyramid, i.e. the slant height.

Therefore, the slant height (or the apothem, a) can be calculated as follows:
a = 2*lateral area/perimeter of base
= 2A/p

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2. How do I find the perimeter of base
is it 18

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posted by JOY
3. Yes, 18 is correct.

A hexagon has 6 sides, each of length 3 ft. So
Perimeter, p = 6*3 ft = 18 ft.

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