All we need to do to solve this problem is calculate the area of a rectangle and the area of a circle, then <em><u>add them</u></em>!
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First, let's do the rectangle!
Area of a rectangle = length x width
or in this case... Area = "x" times "y"
Area = 19 × 12 = 228 square feet!
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Now, let's do the circle!
Area of a circle = πr² ... (r = radius)
<u><em>*</em></u> In this diagram, the diameter of the circle is also the same length as "y"!
<u><em>* </em></u>And remember that<em> radius is half of the diameter</em>.
radius = 6
Now, let's actually calculate the area
Area = π(6)² ⇒ 36π
Area = 113.1 (I rounded up the decimals!)
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<u><em>*</em></u>But wait! Look at the figure! It looks like HALF of the circle's area <u>was included when we calculated the area of the rectangle</u>! This means that we should divide the area of the circle (that we just calculated) in half!
Area of the HALF CIRCLE = 113.1 ÷ 2 = 56.5
Now let's add the <u>area of the rectangle</u> to the <u>area of the half-circle</u> to find the <u>area of THE ENTIRE FIGURE</u>!
<u>228 + 56.5 = 284.5 </u>
284.5 square feet is our answer!
