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