The area of a given trapezoid is 86cm. Base 1 is 12cm and the height is 8cm. What is the length of Base 2. The formula for a trapezoid is A=1/2(b1+b2)h

Here is the formula:[tex]A=\frac{1}{2}(b1+b2)h[/tex]The first thing you need to do to solve this question is see the information you are given. You are given:Area of the trapezoid(86 cm)Base 1(12 cm)Height(8 cm)Now that you know what information is given, you need to plug it into the formula.Base 1 ⇒ b1Height ⇒ hArea ⇒ AReplace the variables used in the formula with the values you are given.[tex]A=\frac{1}{2}(b1+b2)h \\ \\ 86=\frac{1}{2}(12+b2)8[/tex]Now you need to do multiply everything in order to 'simpify it'. I'm goinf to change b1 into x; x is the value of b1.[tex]86=\frac{1}{2}(12+b2)8 \rightarrow 86=(\frac{1}{2}(12+x))(8)[/tex]Multiply everything in the parentheses, but first start with the first one(parenthesis).[tex]86=(\frac{1}{2}(12+x))(8) \rightarrow 86= (6+0.5x)(8)[/tex]You need to have only 1 number/variable on each side. That means you have to multiply the values in the two parentheses:[tex](6+0.5x)(8) \rightarrow 4x+48[/tex]Here is your new equation:[tex]4x+48=86[/tex]In order to get the answer, you need to find the value of x alone, meaning you need to remove everything next to it. In this equation, 4x is added with 48. That means you need tog et rid of +48 by moving to the other side, which can also be done by adding it with it's opposite. The opposite of +48(positive 48) is -48(negative 48). In order to remove it, subtract 48 from both sides.[tex]4x+48=86 \rightarrow 4x+48(-48)=86-48 \rightarrow 4x=38[/tex]Now you're left with 4x=38Remember that you're trying to find x alone. That means you need to the opposite of what's happening to it. In this question, x is being multiplied by 4. The opposite of it is dividing by 4.Divide both sides by 4:[tex]\frac{4x}{4} =\frac{38}{4}  \rightarrow x=9.5[/tex]The value of Base 2 is 9.5 cm