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

`a=(2A)/(h)-b`

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=(a+b)/(2) *h\\`

Step 1

solve for a, it means isolate a

`A=(a+b)/(2) *h\\divide\ both\ sides\ by\ h\\\\(A)/(h)= ((a+b)/(2) *h)/(h) \\(A)/(h)=(a+b)/(2)\\\\Now, multiply\ both\ sides\ by\ two\\\\ 2*(A)/(h)=2*(a+b)/(2)\\2*(A)/(h)=a+b\\(2A)/(h)=a+b\\\\subtract\ b\ for\ both\ sides\\(2A)/(h)-b=a+b-b\\a=(2A)/(h)-b`

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