The area of a trapezoid is given by the formula , where base is parallel to base and is the height. Solve the formula for . Show your work. I'll mark the first one who answer's this question as the brainiest.
Answers
Answer;
1/2(b1+b2)*h
step by step explanation
When the two trapezoids are combined in this way, the result is a parallelogram, which has two pairs of opposite, congruent sides.
Recall that the area of a parallelogram is its altitude (h) times the length of either base. From the figure above we see that both base lengths are equal to b1+b2. So the area of the parallelogram is
parallelogram area = ( b 1 + b 2 ) · h
Since this is the area of two trapezoids we have to divide this by two, giving
trapezoid arae =
( b 1 + b 2 ) h
2
Finally..
This can be rearranged into more familar forms:
1
2
h ( b 1 + b 2 )
or
b 1 + b 2
2
· h
Answer:
The complete question is:
The area of a trapezoid is given by the formula A = 1/2 (b1 + b2)h, where base b1 is parallel to base b2 and h is the height. Solve the formula for b2. Show your work.
The correct answer is:
b2 = 2A/h - b1
Step-by-step explanation:
Given:
Formula for area of a trapezoid A = 1/2 (b1 + b2)h
b1 and b2 are parallel to each other and h is the height
To find:
The formula for b2
Solution:
The formula for area of a trapezoid is given as follows:
A = 1/2 (b1 + b2)h
By using distributive property [a (b + c) = ab + ac] and simplifying, we get:
A = 1/2hb1 + 1/2hb2
Now, we shall solve for b2 by taking 1/2hb1 to the LHS. Therefore, we get the following:
A - 1/2hb1 = 1/2hb2
=> (A - 1/2hb1) / 1/2h = b2
=> A/(h/2) - (1/2hb1) / (1/2h) = b2
=> 2A/h - b1 = b2
Therefore, the formula for b2 = 2A/h - b1
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