Respuesta :

      A = lw + wh + lh   Subtract lh from both sides
A - lh = lw + wh          Factor out the w
A - lh = w (l + h)          Divide both sides by (l + h)
[tex] \frac{A - lh}{l + h}[/tex] = w   Switch the sides to make it easier to read
w = [tex] \frac{A - lh}{l + h}[/tex]
Lanuel

Making w the subject of formula is [tex]w = \frac{A - lh}{l + h}[/tex]

In this exercise, you're required to solve for w in the mathematical (algebraic) expression by making it the subject of formula.

Given the following mathematical (algebraic) expression;

[tex]A = lw + wh + lh[/tex]

We would simplify by moving the variables with w;

[tex]lw + wh = A - lh[/tex]

Factorizing w, we have;

[tex]w(l + h) = A - lh[/tex]

Simplifying further, we have;

[tex]w = \frac{A - lh}{l + h}[/tex]

Therefore, making w the subject of formula is [tex]w = \frac{A - lh}{l + h}[/tex]

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