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Jaime makes a rectangular flag in his school colors. One section of the flag says the area of the triangle is \(\frac{16}{24}\) of the area of the flag. Do you agree? Explain.

Answer :

Final answer:

To determine if the statement is true, we compare the areas of the triangle and the flag. By using the given formula, we get A = (3/2)(bh), showing that the statement is not true.

Explanation:

Jaime makes a rectangular flag in his school colors. One section of the flag says the area of the triangle is 16/24 of the area of the flag. Do you agree? Explain.



To determine if this statement is true, we need to compare the area of the triangle to the area of the flag. Let's assume the area of the flag is represented by A, and the area of the triangle is represented by T. According to the statement, T = (16/24)A.



We can simplify (16/24) to (2/3), which means T = (2/3)A.



Let's say the length of the base of the triangle is b, and the height of the triangle is h. The area of the triangle can be calculated using the formula: T = (1/2)bh.



Substituting (2/3)A for T, we get (2/3)A = (1/2)bh. We can rearrange this equation to solve for A:



A = (3/2)(bh).



This equation tells us that the area of the flag (represented by A) is equal to (3/2) times the base multiplied by the height of the triangle (represented by bh). Since (3/2) is not equal to (2/3), we can conclude that the statement is not true.

Learn more about Area comparison here:

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