Question

The equation a = StartFraction one-half EndFraction left-parenthesis b 1 plus b 1 right-parenthesis.(b1 + b2)h can be used to determine the area, a, of a trapezoid with height, h, and base lengths, b1 and b2. Which are equivalent equations? Check all that apply.

StartFraction 2 a Over h EndFraction minus b 2 equals b 1.– b2 = b1
StartFraction a Over 2 h EndFraction minus b 2 equals b 1. – b2 = b1
StartFraction 2 a minus b 2 Over h EndFraction equals b. = b1
StartFraction 2 a Over b 1 plus b 2 EndFraction equals h. = h
StartFraction a Over 2 left-parenthesis b 1 plus b 1 right-parenthesis EndFraction equals h.= h

Answer 1

Answer:

It is A and d

Step-by-step explanation:

Answer 2

The equivalent equations are $2a = (b_1 + b_2) \times h$ and $\frac{2a}{h} = b_1 + b_2$

What are equivalent equations?

Equivalent equations are equations that have equal values

The equation is given as:

$a = \frac{1}{2} (b_1 + b_2) \times h$

Multiply both sides by 2

$2a = (b_1 + b_2) \times h$

Divide both sides by h

$\frac{2a}{h} = (b_1 + b_2)$

Remove the bracket

$\frac{2a}{h} = b_1 + b_2$

Hence, the equivalent equations are $2a = (b_1 + b_2) \times h$ and $\frac{2a}{h} = b_1 + b_2$

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