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Find the Area of the figure below, composed of an isosceles trapezoid and one semicircle. Rounded to the nearest tenths place

Find the Area of the figure below, composed of an isosceles trapezoid and one semicircle. Rounded to the nearest tenths place

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Full solution

Q. Find the Area of the figure below, composed of an isosceles trapezoid and one semicircle. Rounded to the nearest tenths place
  1. Calculate Trapezoid Area: First, we need to calculate the area of the isosceles trapezoid. The formula for the area of a trapezoid is (base1+base2)/2×height(\text{base}_1 + \text{base}_2) / 2 \times \text{height}. Let's say the bases are aa and bb and the height is hh. We plug in the numbers and calculate.
  2. Calculate Semicircle Area: Now, we calculate the area of the semicircle. The formula for the area of a circle is π×radius2\pi \times \text{radius}^2, but since we have a semicircle, we divide it by 22. So, the area of the semicircle is (π×radius2)/2(\pi \times \text{radius}^2) / 2. We find the radius and plug it into the formula.
  3. Find Total Area: We add the area of the trapezoid and the area of the semicircle to get the total area of the figure. This gives us the final answer.

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