+193 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 +
+129850 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]
