Question

(12) use the side lengths you labeled to find the area of trapezoid lmno. (hint: break the

Explanation:

Step1: Identify the formula for the area of a trapezoid

The formula for the area of a trapezoid is \(A=\frac{1}{2}(b_1 + b_2)h\), where \(b_1\) and \(b_2\) are the lengths of the parallel sides, and \(h\) is the height (the distance between the parallel sides).

Step2: Determine the values of \(b_1\), \(b_2\), and \(h\)

From the trapezoid \(LMNO\), the lengths of the parallel sides are \(b_1 = 8\) units (side \(OL\)) and \(b_2=4\) units (side \(NM\)), and the height \(h = 9\) units (side \(LM\)).

Step3: Substitute the values into the formula

Substitute \(b_1 = 8\), \(b_2 = 4\), and \(h=9\) into the formula \(A=\frac{1}{2}(b_1 + b_2)h\):

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Answer:

54 square units