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The area of a trapezoid is given by the formula A = 1/2h(B + b). Solved for b, this formula becomes b = A) 1 2 hA -B B) 1 2 hB - A C) 2A - B h D) 2A h - B

Respuesta :

Option D: [tex]\frac{2A}{h}-B[/tex] is the value of b

Explanation:

Given that the formula for the area of a trapezoid is [tex]A=\frac{1}{2}h(B+b)[/tex]

We need to solve the formula for b.

The value of b:

Let us solve the formula [tex]A=\frac{1}{2}h(B+b)[/tex] to determine the value of b.

Multiplying both sides of the formula by 2, we get;

[tex]2A=h(B+b)[/tex]

Dividing both sides by h, we get;

[tex]\frac{2A}{h}=B+b[/tex]

Subtracting both sides of the formula by B, we have;

[tex]\frac{2A}{h}-B=b[/tex]

Thus, the value of b is [tex]\frac{2A}{h}-B[/tex]

Hence, Option D is the correct answer.

Answer:

d

Step-by-step explanation:

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