Question

I’m confused on this one

Answer 1

Greetings!

The formula for the area of any triangle is as followed:

$A_{triangle}=\frac{bh}{2}$

-------------------------------------------------------------------------------------------------------------

Let Statements:

Let the variable...

→ $b$ represent the length of the base of the triangle

→ $h$ represent the length of the height of the triangle

-------------------------------------------------------------------------------------------------------------

Using the information provided from the question, we can substitute its values in place of the variables and solve for the last remaining variable:

$10=\frac{(4)(x+3)}{2}$

Distribute the parenthesis (The Distributive Property) :

$10=\frac{((4)(x)+(4)(3))}{2}$

$10=\frac{4x+12}{2}$

Reduce the fraction to lowest terms:

$10=2x+6$

Add -6 to both sides of the equation:

$(10)+(-6)=(2x+6)+(-6)$

$4=2x$

Divide both sides of the equation by 2:

$\frac{4}{2}=\frac{2x}{2}$

$2=x$

-------------------------------------------------------------------------------------------------------------

The Answer to this Problem is:

$\boxed{x=2}$

-------------------------------------------------------------------------------------------------------------

I hope this helped!

-Benjamin