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# Algebra

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Solving a Formula for One of its Variables: The formula for the surface area of a rectangular prism l units long, w units wide, and h units high is:

A = 2 ( lw + lh + wh )

Fill in the blanks below to solve the formula for w

A = 2 ( lw + lh + wh )

A =              lw +            lh  +             wh                      Which property did you use in this step? ____________

A -                         =   2 lw + 2wh                                  Subtract _____________  from each side

A - 2 lh  =   (2l + 2h)                                                       Which property did you use in this step?___________

=  w                                                           Divide both sides by                            +

Sep 10, 2019

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A = 2( lw + lh + wh )

A  =  2lw  + 2lh  + 2wh      →    distributive property

Subtract  2lh  from both sides

A  -  2lh  =  2lw + 2wh     →   subtraction property of equality

Factor out "w"  from the right side

A - 2lh =  w [ 2l  + 2h]

Divide both sides by  [ 2l + 2h]

[ A -2h]

_______  =  w        →      division property of eqiuality

[2l + 2h]   Sep 10, 2019