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aliviafrancois2000
29.09.2019 •
Mathematics
(05.01)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. triangle with height of 6 inches and base of 12 inches aligned at bottom of a 12 by 12 inch square grid.
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.
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Ответ:
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](/tpl/images/0273/7972/7b07b.png)
Thus , the area of the given square =![(12)^2=144\ in^2](/tpl/images/0273/7972/2e243.png)
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}](/tpl/images/0273/7972/96789.png)
Then, the area of given triangle =![\dfrac{1}{2}\times12\times6=36\ in^2](/tpl/images/0273/7972/1f374.png)
Number of triangles triangles Sammy can create out of a square grid that has a side of 12 inches :_
Hence, the correct answer is The area of the triangle is 36 in², so she can create only 4 triangles.
Ответ: