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gregori [183]
3 years ago
13

Solve the formula for b2. Area of a trapezoid: A=12h(b1+b2)

Mathematics
2 answers:
Mkey [24]3 years ago
8 0

Answer:

A = (12h x b1) + (12h x b2)

A = 12hb1 + 12hb2

A - 12hb1 = 12hb1 - 12hb1 +12hb2

A - 12hb1 = 12hb2

(A - 12hb1) / (12h) = (12hb2) / (12h)

b2 = (A - 12hb1) / (12h)

Fittoniya [83]3 years ago
5 0

Answer:

b₂ = \frac{2A-hb_{1} }{h}

Step-by-step explanation:

A = \frac{1}{2} h(b₁ + b₂) ← multiply both sides by 2 to clear the fraction

2A = h(b₁ + b₂) ← distribute

2A = hb₁ + hb₂ ( subtract hb₁ from both sides )

2A - hb₁ = hb₂ ( divide both sides by h )

\frac{2A-hb_{1} }{h} = b₂

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