The formula for the area of a trapezoid is cap A is equal to 1 half open paren b sub 1 plus b sub 2 close paren h When this equation is solved for b sub 1 , one equation is b sub 1 is equal to 2 cap A over h minus b sub 2 Which of the following is an equivalent equation to find b sub 1 ?
Answer
A
b sub 1 is equal to the fraction with numerator 2 cap A minus b sub 2 h and denominator h
B
b sub 1 is equal to h of open paren 2 cap A minus b sub 2 h close paren
C
b sub 1 is equal to 2 cap A minus b sub 2 h
D
b sub 1 is equal to the fraction with numerator h and denominator 2 cap A minus b sub 2 h
Explanation
Start with b₁ = 2A/h − b₂. Write b₂ with denominator h: b₂ = b₂h/h. Then combine the fractions to get b₁ = (2A − b₂h)/h, which is choice B.
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