Q
QuestionMathematics

The formula for the area of a trapezoid is A, equals, one half, h, of, b, start subscript, 1, end subscript, plus, b, start subscript, 2, end subscript, commaA= 21 h(2$), where hh is the height and b, start subscript, 1, end subscriptb^1 and b, start subscript, 2, end subscriptb^2 are the two bases. Rewrite the formula to solve for hh in terms of A, commaA, b, start subscript, 1, end subscriptb^1 and b, start subscript, 2, end subscript, .b^2
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Answer

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Step 1
: Begin by examining the formula for the area of a trapezoid.

where $A$ is the area, $h$ is the height, and $b_1$ and $b_2$ are the two bases.
The formula is given as:

Step 2
: To solve for the height $h$, first multiply both sides of the equation by 2 to eliminate the fraction.

2A = h (b_1 + b_2)

Final Answer

h = \frac{2A}{b_1 + b_2}