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Mathematics 13 Online
OpenStudy (anonymous):

What's the lateral are of pentagonal pyramid.

OpenStudy (anonymous):

OpenStudy (anonymous):

*area

OpenStudy (anonymous):

A regular pentagonal pyramid?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Lateral Area = The sum of the areas of the lateral (vertical) faces

OpenStudy (anonymous):

or 1/2 the perimeter times the slant height

OpenStudy (anonymous):

OpenStudy (anonymous):

the slant height being the altitude of one of the lateral triangular faces

OpenStudy (anonymous):

The formula is: 1/2 × Perimeter × Base Length. This is because the sides are always triangles and the triangle formula is bh/ 2.

OpenStudy (anonymous):

So, 8*5=40,40/2=20,then 20*16?

OpenStudy (anonymous):

sorry and the perimeter being the perimeter of the base

OpenStudy (anonymous):

We are not given perpensdicular height we are given slant height so we have to use pythogaras theorem to calculate the perpendicular height

OpenStudy (anonymous):

perpendicular*

OpenStudy (anonymous):

I got the height around 15.49

OpenStudy (anonymous):

|dw:1399083897383:dw|

OpenStudy (anonymous):

16^2- 8^2 =x^2 256-64=x^2 192 = x^2 x=14 (approx)

OpenStudy (anonymous):

now use the given formula

OpenStudy (anonymous):

I got 56

OpenStudy (anonymous):

It is definitely 320.

OpenStudy (anonymous):

That's what I got when I used your thing, and it's an answer choice.

OpenStudy (anonymous):

Using my formula, 1/2 x perimeter of the base x slant height, that would be 1/2 x (5x8) x 16.

OpenStudy (anonymous):

Thanks. :)

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