Question

(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.

Answer 1

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.

Answer 2

The third answer. The area of the tringle is 36in2 (using basexheight/2, the formula for the area of a triangle.) since the area of the square is 144in2, to find the answer you just divide 144 by 36 which equals 4:) Hope that helps:)