Answer:
[tex]a=\frac{2A}{h}-b[/tex]
Step-by-step explanation:
Hello, I think I can help you with this.
According to the information provided in the problem, the area of a trapezoid is given by
[tex]A=\frac{a+b}{2} *h\\[/tex]
Step 1
solve for a, it means isolate a
[tex]A=\frac{a+b}{2} *h\\divide\ both\ sides\ by\ h\\\\\frac{A}{h}= \frac{\frac{a+b}{2} *h}{h} \\\frac{A}{h}=\frac{a+b}{2}\\\\Now, multiply\ both\ sides\ by\ two\\\\ 2*\frac{A}{h}=2*\frac{a+b}{2}\\2*\frac{A}{h}=a+b\\\frac{2A}{h}=a+b\\\\subtract\ b\ for\ both\ sides\\\frac{2A}{h}-b=a+b-b\\a=\frac{2A}{h}-b[/tex]
Have a good day.
