Answer :

To isolate [tex]\( L_1 \)[/tex] in the formula [tex]\( A = \frac{1}{2}(L_1 + L_2)h \)[/tex], you can follow these steps:

1. Start with the original formula:

[tex]\[
A = \frac{1}{2}(L_1 + L_2)h
\][/tex]

2. Eliminate the fraction:

Multiply both sides of the equation by 2 to get rid of the fraction:

[tex]\[
2A = (L_1 + L_2)h
\][/tex]

3. Solve for [tex]\( L_1 \)[/tex]:

To isolate [tex]\( L_1 \)[/tex], divide both sides by [tex]\( h \)[/tex]:

[tex]\[
\frac{2A}{h} = L_1 + L_2
\][/tex]

4. Subtract [tex]\( L_2 \)[/tex] from both sides:

To completely solve for [tex]\( L_1 \)[/tex], subtract [tex]\( L_2 \)[/tex] from both sides:

[tex]\[
L_1 = \frac{2A}{h} - L_2
\][/tex]

This results in the expression for [tex]\( L_1 \)[/tex] in terms of [tex]\( A \)[/tex], [tex]\( h \)[/tex], and [tex]\( L_2 \)[/tex]:

[tex]\[
L_1 = \frac{2A}{h} - L_2
\][/tex]

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Rewritten by : Barada