Find the area of the figure. Use 3.14 for y, and round your answer to the nearest tenth.
Rectangle capped by a right triangle on one end and a semicircle on the other
6 yd
4 yd
9 yd
a 42.6 sq. yd
b. 36.3 sq yd
42.3 sq. yd
d. None of these
Please select the best answer from the choices provided
OA

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B.) 36.3 sq. yd

Step-by-step explanation:

To find the area of a rectangle is l x w (length multiplied by width) The length of the rectangle is 6 yards and the width is 4.

6 x 4= 24

Now you need to find the area of a triangle. To find the bottom or base of the triangle you must subtract 6 from 9. (6 being the top of the rectangle and 9 being the base.) which should give you 3. Now that we have the base of the triangle we can find the area of the triangle using the formula which is b x h/ 2 (base multiplied by height divided by 2) b= 3 and h= 4. 3 x 4= 12 divided by 2  equals 6.

Last we need to find the area of the half circle, based off the side of the rectangle we can say the diameter of the circle is 4. The radius is half of the diameter 4/2 = 2. The formula to find the area of a circle is A= πr^2

π(2^2) = 12.57 and because its a half circle we divide it by 2 which equals 6.285

Now we add all the areas of each shape so, 24+6+6.285 which equals 36.3

Answer = B.) 36.3

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