A trapezoid with an area of 166.75 in squared has a base that measures 21 in and 8 in. Find the height of the trapezoid.
2 answers:
The formula to find the area of a trapezoid is
It has a base that measures 8 in = a
And the other side that is parallel to base is 21 in. = b
Let the height of the trapezoid = h
The trapezoid has an area of 166.75 in²
Substituting the values we get
14.5h = 166.75
Dividing by 14.5 on both sides we get
h = 11.5 in
The height of the trapezoid is 11.5 in.
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Answer:
Step-by-step explanation:
We have been given an expression . We are asked to complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
We know that a perfect square trinomial is in form .
To convert our given expression into perfect square trinomial, we need to add and subtract from our given expression.
We can see that value of b is 11, so we need to add and subtract to our expression as:
Upon comparing our expression with , we can see that
,
and
.
Upon simplifying our expression, we will get:
Therefore, our perfect square would be .