Question

multiple choice 1 point
the height of a triangle is six times the base. write an expression for the area of the triangle and let x be the base.
3x
3x²
6x²
x(x + 6)

Explanation:

Step1: Define base and height

Let base $b = x$, height $h = 6x$.

Step2: Use triangle area formula

Area formula: $A = \frac{1}{2}bh$
Substitute values: $A = \frac{1}{2} \times x \times 6x$

Step3: Simplify the expression

$A = \frac{6x^2}{2} = 3x^2$

Answer:

$3x^2$ (corresponding to the second option)