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In the following exercise a formula is given, along with the values of all but one of the variables in the formula. Find the value of the variable that is not given S = 2LW+2WH + 2LH; S = 108, L= 3, W= 4

Respuesta :

Answer:

H = 6

Explanation:

We are given the values of S, L, and W, and so we put them into the formula to get

[tex]108=2(3)(4)+2(4)H+2(3)H[/tex]

We simplify the above to get

[tex]108=24+8H+6H[/tex]

Subtracting 24 from both sides gives

[tex]108-24=24-24+8H+6H[/tex][tex]84=8H+6H[/tex]

Adding the like terms on the right-hand sides gives

[tex]84=14H[/tex]

Finally, dividing both sides by 14 gives

[tex]\frac{84}{14}=\frac{14H}{14}[/tex]

which gives

[tex]H=6[/tex]

which is our answer!

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