Answer: The area of the triangle is 36 in², so she can create only 4 triangles.
Step-by-step explanation:
Given : Side of square = 12 inches
We know that ,
Area of square = \((side)^2\)
Thus , the area of the given square = \((12)^2=144\ in^2\)
Also, the dimensions of triangle are :-
Base = 12 inches
Height = 6 inches
We know that ,
Area of triangle = \(\dfrac{1}{2}\times\text{Base x height}\)
Then, the area of given triangle = \(\dfrac{1}{2}\times12\times6=36\ in^2\)
Number of triangles triangles Sammy can create out of a square grid that has a side of 12 inches :_
\(\dfrac{\text{Area of square}}{\text{Area of triangle}}\\\\=\dfrac{144\ in^2}{36\ in^2}\\\\=\dfrac{4}{1}=4\)
Hence, the correct answer is The area of the triangle is 36 in², so she can create only 4 triangles.
