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

36 only creates 4 triangles

Explanation:

Answer 2

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

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 =
`(1)/(2)*\text{Base x height}`

Then, the area of given triangle =
`(1)/(2)*12*6=36\ in^2`

Number of triangles triangles Sammy can create out of a square grid that has a side of 12 inches :_

`\frac{\text{Area of square}}{\text{Area of triangle}}\\\\=(144\ in^2)/(36\ in^2)\\\\=(4)/(1)=4`

Hence, the correct answer is The area of the triangle is 36 in², so she can create only 4 triangles.