Question

PLEAS HELP ME PLEAS!

Sammy is trying to determine how many triangles she can create out of a square grid that has a side of 10 inches. Use the image below to determine the area of the triangle and how many she can cut out.

A The area of the triangle is 50 in2, so she can create only 2 triangles.
B The area of the triangle is 50 in2, so she can create only 4 triangles.
C The area of the triangle is 25 in2, so she can create only 2
D triangles. The area of the triangle is 25 in2, so she can create only 4 triangles.

Answer 1

(D) The area of the triangle is 25 in^2, so she can create only 4 triangles.

Explanation:

You'll need two things besides the measurements from the diagram to answer this question. They're the formulas for the areas of a triangle and a square, which are, respectively:

A=1/2(b)(h), where "b" represents the length of the triangle's base and "h" represents the height of the triangle, and

A=s*s, where "s" represents the length of a side of the square. Remember that a square's sides are all the same length, so both s' will be the same number.

The side lengths of the square are 10 inches, so plugging this into the formula gives (10*10) or 100 in^2. Performing the same for the triangle, where the base is 10 in (notice that it is the same length as a side of the square) and the height is 5 in. Plugging this in yields (1/2(10)(5)) or 25 in^2. Twenty-five goes into 100 four times (100/25=4), so Sammy can only create four triangles.