Answered

PLEASE HELP!!!!
The formula for the area of a trapezoid is
=12ℎ(1+2)
A=12hb1+b2

, where h is the height and
1
b1

and
2
b2

are the lengths of the two parallel sides.



Based on this formula, which of the following formulas are also true? Select three that apply.

PLEASE HELP The formula for the area of a trapezoid is 12ℎ12 A12hb1b2 where h is the height and 1 b1 and 2 b2 are the lengths of the two parallel sides Based on class=


Answer :

GegeAkutami

Answer:

Sorry if this isnt much of a help but I think C is one of the answers.

sqdancefan

Answer:

  C, D, E

Step-by-step explanation:

You want to find equations for h and b1 or b2 given the formula for the area of a trapezoid is ...

  A = 1/2h(b1 +b2)

Rearrangements

Distributing the factor of 1/2, we get ...

  [tex]A=h\left(\dfrac{1}{2}b_1+\dfrac{1}{2}b_2\right)[/tex]

Dividing by the coefficient of h, we find ...

  [tex]\boxed{h=\dfrac{A}{\left(\dfrac{1}{2}b_1+\dfrac{1}{2}b_2\right)}}\qquad\text{matches choice E}[/tex]

Multiplying the original equation by 2 gives us ...

  [tex]2A=h(b_1+b_2)[/tex]

From here, we can solve for h or b2 as follows:

  [tex]\boxed{h=\dfrac{2A}{b_1+b_2}}\qquad\text{divide by the coefficient of h; matches D}\\\\\\\\b_1+b_2=\dfrac{2A}{h}\qquad\text{divide by h}\\\\\boxed{b_2=\dfrac{2A}{h}-b_1}\qquad\text{subtract $b_1$; matches C}[/tex]

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