Verified Answer :

dasetka

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)
\(\frac{A - lh}{l + h}\) = w   Switch the sides to make it easier to read
w = \(\frac{A - lh}{l + h}\)

Lanuel

Making w the subject of formula is \(w = \frac{A - lh}{l + h}\)

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;

\(A = lw + wh + lh\)

We would simplify by moving the variables with w;

\(lw + wh = A - lh\)

Factorizing w, we have;

\(w(l + h) = A - lh\)

Simplifying further, we have;

\(w = \frac{A - lh}{l + h}\)

Therefore, making w the subject of formula is \(w = \frac{A - lh}{l + h}\)

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