2. Find the area of the trapezoid. Leave your answer in the simplest radical form.

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Question:

2. Find the area of the trapezoid. Leave your answer in the simplest radical form.

Answers

Answer:170 ft²Step-by-step explanation:First let's calculate the height of this trapezoid.  Call it 'h.'  Look at the triangle on the right; the base is equal to (22 ft - 12 ft), or (10 ft).  Using the tangent function, we can find h:                     htan 45° = ---------- = 1  and so we know that h = 10 ft                   10 ftThe formula for the area of a trapezoid is A = (average length)*(width)Here we have:A = [ (12 ft + 22 ft) / 2 ] * 10 ft, orA  =           (17 ft)*(10 ft) = 170 ft²

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