Sammy is trying to determine how many triangles she can create out of a square grid that has a side of 12 inches. Use the image below to determine the area of the triangle and how many she can cut out.

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- anonymous

- jamiebookeater

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- anonymous

|dw:1434047280066:dw| Help

- anonymous

- Vocaloid

area of a square = (side length)^2
area of triangle = (1/2)(base)(height)
the side length of the square is 12
the base of the triangle is also 12 (it's the same length as the square) and the height is 6
so, let's start by finding
1. the area of the square
2. the area of the triangle

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## More answers

- anonymous

alright

- anonymous

- anonymous

The area of the triangle is 36 in2, so she can create only 2 triangles.
The area of the triangle is 72 in2, so she can create only 2 triangles.
The area of the triangle is 36 in2, so she can create only 4 triangles.
The area of the triangle is 72 in2, so she can create only 4 triangles.

- anonymous

those are the choices

- Vocaloid

first off, what is the area of the square?

- anonymous

24

- anonymous

- Vocaloid

not quite, remember that area = (side length)^2
what is 12^2?

- anonymous

so it would be 12 x 6?

- Vocaloid

no, 12^2 is the same as (12)*12

- anonymous

omg sorry i did 12 x 2 i ment 12 x 12 144 sorry

- Vocaloid

right, so we know the area of the square (144)
what is the area of the triangle?

- anonymous

72

- Vocaloid

hm, not quite
remember: area of triangle = (1/2)(base)(height)
base = 12
height = 6

- anonymous

so 12 divided by 6?

- anonymous

2

- Vocaloid

not quite....
area = (1/2)*base*height

- Vocaloid

(1/2)*6*12 = ?

- anonymous

36 sorry i didnt figure it out earlier

- Vocaloid

no need to apologize, that's why we're here! :)
ok, so the total area of the square is 144, and the area of the triangle is 36, right?
to find out the number of triangles she can make, we divide the area of the square by the area of each triangle
so, what is 144/36?

- anonymous

4

- Vocaloid

great! so, she can make 4 triangles and each triangle has an area of 36 inch^2
so, which of the 4 answer choices do you think it is now?

- anonymous

c

- anonymous

Thank you @Vocaloid your literally amazing and you deserve a lot of fans and medals (: (online hugs)

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