The area of the triangle is 12x and the perimeter of the triangle is 14 + 5x
How to determine the area and the perimeter?
The area of the triangle
From the figure, the required parameters are:
Base = 8
Height = 3x
The area of the triangle is calculated as:
Area = 0.5 * Base * Height
So, we have
Area = 0.5 * 8 * 3x
Evaluate
Area = 12x
Hence, the area of the triangle is 12x
The perimeter of the triangle
From the figure, the required parameters are:
Side 1 = 8
Side 2 = x + 9
Side 3 = 4x - 3
The perimeter of the triangle is calculated as:
Perimeter = Side 1 + Side 2 + Side 2
So, we have
Perimeter = 8 + x + 9 + 4x - 3
Evaluate
Perimeter = 14 + 5x
Hence, the perimeter of the triangle is 14 + 5x
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