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You are making poster board boundary markers in the shape of square pyramids for a relay race. If you are including a 12 -inch square as the bottom and you want the slant height to be 14 inches, how much poster board do you need? 252 in2 420 in2 480 in2 532 in2

Mathematics
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@UnkleRhaukus can you able to help me ?
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I still cant get this, can you able go in bit detail ?

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Other answers:

can you see how i flattened all the surfaces a plane?
Yes
you have a square , and four big triangles,
ok
the area of a square is the side length squared the area of a triangle is half of the base times the height
Are we gonna....multiply 14 and 12?
i am sorry i am totally talking wrong
yes the base of the triangles is 12 and they have a height of 14 , the area of each tringle is half these multiplied together
but i got 168 ? :(
how?
I do not know, probably i m doing wrong i know :(
that must be for it
what did you get for the area of the square? and what did you get fo the area of each triangle ?
i multiply 14 with 12 :(
the area of a triangle is HALF of the base times the height
so half * 14 * 12
what do you get?
84 :(
right so , one triangle is 84 in^2 what is the area of the square
12?
the area of a square is the side length squared \[12^2=\]
14 ?
sorry about that
\[12^2=12\times12=\]
144
right
the total area is made up of 4 triangles and one square ,
So we divide 4 with 144 ?
add the area of the square to four times the area of the triangle
Still not getting any correct point
i am so sorry, i m horrible that i m getting wrong answer
144 * 12 * 4 ?
\[A_{\text{square}}=12 [\text{in}]\times12 [\text{in}]=144 [\text{in}]^2\] \[A_{\text{triangle}}=\frac{14 [\text{in}]\times12 [\text{in}]}2=84 [\text{in}]^2\] \[SA_{\text{square pyramid}}=A_{\text{square}}\quad+\quad4\times A_{\text{triangle}}\]
Thank you so so much @UnkleRhaukus, your so awesome and genius!!!!!
thanks alot! And i m sorry for troubling :(
i know, i m totally pain, cuz i barely understand thing
i hope it makes some sense now, can you tell me how much poster board do you need?
480 in2
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Thank you so much @UnkleRhaukus !!! your too great!!!!!!

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