Hello there. To solve this question, we have to remember some properties about solving equations for a variable.
Given the following equation:
![A=lw+wh+lh](https://img.qammunity.org/2023/formulas/mathematics/high-school/3q6ekt9kde5qhe4wwjxswqt9x028vusjdi.png)
We want to solve it for w.
First, notice we can group some factors
![A=w\cdot(l+h)+lh](https://img.qammunity.org/2023/formulas/mathematics/high-school/a57s3g2wbgf2b142q5fguxurcfxy0hwhxg.png)
Subtract lh on both sides of the equation
![A-lh=w\cdot(l+h)](https://img.qammunity.org/2023/formulas/mathematics/high-school/nd4ykiwkldzlknxtmi3c5i7pk8pmdafpeu.png)
Assuming l + h is not equal to zero, divide both sides of the equation by this factor
![w=(A-lh)/(l+h)](https://img.qammunity.org/2023/formulas/mathematics/high-school/ifw023tzr8wkrh7mwzdv93nbqeqcd7uvi3.png)
This is the answer to this question.