Question

I’m confused on this one

Answer 1

Greetings!

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

`A_(triangle)=(bh)/(2)`

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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

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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=((4)(x+3))/(2)`

Distribute the parenthesis (The Distributive Property) :

`10=(((4)(x)+(4)(3)))/(2)`

`10=(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:

`(4)/(2)=(2x)/(2)`

`2=x`

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The Answer to this Problem is:

`\boxed{x=2}`

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I hope this helped!

-Benjamin