Question

geometry concepts/connect a-27.0821010-812-king, tyrone ga-3: mathxl king_walley 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 $(5x - 3)$ inches and the height is $6x$ inches.

Step2: Substitute values

Substitute the base and height into the formula: $A=\frac{1}{2}\times(5x - 3)\times6x$.

Step3: Simplify the expression

First, multiply $\frac{1}{2}$ and $6x$: $\frac{1}{2}\times6x = 3x$. Then, multiply $3x$ by $(5x - 3)$ using the distributive property $a(b - c)=ab - ac$. So $3x(5x - 3)=3x\times5x-3x\times3 = 15x^{2}-9x$.

Answer:

$15x^{2}-9x$ square - inches