Answer:
Area = 12x^2 - 4x in.^2
Explanation:
The formula for the area of a triangle is given by:
A = 1/2bh, where
- A is the area in units squared (or in square units),
- b is the base,
- and h is the height.
Thus, we plug in 8x for h and (3x - 1) for b in the area formula to find A, the area of the triangle in in.^2:
Step 1: Distribute 1/2 to (3x - 1):
A = 1/2(3x - 1)(8x)
A = (3/2x - 1/2)(8x)
Step 2: Multiply 8x and 3/2x and 8x and -1/2:
A = (8x * 3/2x) + (8x * -1/2)
A = 12x^2 - 4x
Thus, the area of the triangle is A = 12x^2 - 4x
The drop down menu should either say in.^2, inches^2 or square inches. All three of these answers work so choose which one is in the drop down menu.