Question

find the area of the triangle. the area of the triangle is (simplify your answer.)

Explanation:

Step1: Recall area formula

The area formula for a triangle is $A=\frac{1}{2}\times base\times height$. Here, the base is $(7x - 3)$ inches and the height is $6x$ inches.

Step2: Substitute values

$A=\frac{1}{2}\times(7x - 3)\times6x$.

Step3: Simplify

First, $\frac{1}{2}\times6x = 3x$. Then, $A=3x\times(7x - 3)=3x\times7x-3x\times3 = 21x^{2}-9x$.

Answer:

$21x^{2}-9x$ square - inches