Question

The formula for a trapezoid relates the area A, the two bases, a and b, and the height, h. A=(a+b)/2 h Solve for a.

Answer 1

Answer:

$a=\frac{2A}{h}-b$

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

$A=\frac{a+b}{2} *h$

Step 1

solve for a, it means isolate a

$A=\frac{a+b}{2} *h\\divide\ both\ sides\ by\ h\\\\\frac{A}{h}= \frac{\frac{a+b}{2} *h}{h} \\\frac{A}{h}=\frac{a+b}{2}\\\\Now, multiply\ both\ sides\ by\ two\\\\ 2*\frac{A}{h}=2*\frac{a+b}{2}\\2*\frac{A}{h}=a+b\\\frac{2A}{h}=a+b\\\\subtract\ b\ for\ both\ sides\\\frac{2A}{h}-b=a+b-b\\a=\frac{2A}{h}-b$

Have a good day.