High School

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Charlie makes a rectangular flag in his school colors. One section of the flag is a triangle. Charlie says the area of the triangle is [tex]\frac{16}{24}[/tex] of the area of the flag. Do you agree? Explain.

Answer :

Final answer:

According to Geometry, a triangle cut out from a rectangle in shape of the flag would cover half the flag's area. Therefore, Charlie's claim could be correct if his triangular portion is two-thirds (16/24) of the total area.

Explanation:

Charlie's statement about the area of the triangle could be correct if the triangular portion is exactly two-thirds of the rectangle's total area. Geometry can be used to determine this. In a rectangular flag, if you cut it diagonally, you create two triangles. Each of these triangles would have an area equal to half of the rectangle's area. This is because to find the area of a rectangle, you multiply length by width, but to find the area of a triangle, you multiply base by the height and then divide by 2 (1/2 * base * height). So if the triangular section Charlie is talking about covers two-thirds, or 16/24, of the flag, then Charlie is correct.

Learn more about Geometry here:

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