Question

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Answer 1

Answer:

x = 2

Step-by-step explanation:

Firstly, calculate the area of the rectangle with the formula:

Length x width = area

(x+6) * 3 = 3x + 18

The formula for the area of a triangle is:

$\frac{1}{2} * b * h$

We can plug the known variables into the equation and get:

$\frac{1}{2} * 8 * (x+4)$

4 * (x + 4)

4(x + 4)

4x + 16

As the two areas are the same:

4x + 16 = 3x + 18

Subtract 3x from both sides of the equation:

4x + 16 - 3x = 3x + 18 - 3x

x + 16 = 18

Subtract 16 from both sides of the equation:

x + 16 - 16 = 18 - 16

x = 2

Hope this helps!