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Find the Area of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place.

Find the Area of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place.

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Full solution

Q. Find the Area of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place.
  1. Get Dimensions: First, we need the dimensions of the rectangle and the semicircle to calculate the area. Let's say the rectangle has a length of 'll' and a width of 'ww', and the semicircle has a radius 'rr' which is equal to 'w2\frac{w}{2}'.
  2. Calculate Rectangle Area: Now, calculate the area of the rectangle using the formula Arect=l×wA_{\text{rect}} = l \times w.
  3. Calculate Semicircle Area: Then, calculate the area of the semicircle. The area of a full circle is πr2\pi r^2, so the area of a semicircle is (1/2)πr2(1/2)\pi r^2. Since r=w/2r = w/2, we'll use that for the calculation.
  4. Add Areas: Add the area of the rectangle and the area of the semicircle to get the total area of the figure.
  5. Round Total Area: Finally, round the total area to the nearest tenths place as instructed.

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