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- anonymous

A stone sculpture in a park is in the shape of a square pyramid as shown below.
http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_0700_Subtest_03_17/image0044e5fbd82a.jpg
The area of the base of the sculpture is 64 square feet. What is the lateral area of the sculpture in square feet?

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- phi

your link does not let me see the figure.
The lateral area is the area of the 4 sides (does not include the bottom)
do they give the slant height?

- anonymous

- phi

area of the base of the sculpture is 64 square feet
they tell you the base is square.
Can you find the length of one side of the base?

- anonymous

8?

- phi

yes sqrt(64)= 8
if you look at one side, it is a triangle with base 8 and altitude 11
can you find the area of a triangle?

- anonymous

i dont remember how to..... :(

- phi

the formula is area= base*height/2
(you could google area triangle if you forget)
can you find the area of one side of the pyramid?

- anonymous

44?

- anonymous

1600?

- phi

because the bottom of the pyramid is square, each base is 8. You have 4 identical sides.
Can you find the total lateral area (all 4 sides) if one side is 44

- anonymous

sorry typo in the calc... 176?

- phi

fixed a typo. How did you get 1600? OK 4*44= 176
if we add in the units
176 square feet

- anonymous

Cool! Thanks sooooooo much!

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