what is the area of this figure? write your answer using decimals. use 3.14 for π. square meters

Explanation:

Step1: Divide the figure into shapes

The figure can be divided into a rectangle, a smaller rectangle and a semi - circle.

Step2: Calculate the area of the large rectangle

The large rectangle has length (l = 6)m and width (w=10)m. The area of a rectangle is (A = lw). So (A_1=6\times10 = 60) square meters.

Step3: Calculate the area of the small rectangle

The small rectangle has length (l = 3)m and width (w = 3)m. The area of a rectangle is (A=lw). So (A_2=3\times3=9) square meters.

Step4: Calculate the area of the semi - circle

The diameter of the semi - circle (d = 6)m, so the radius (r=\frac{d}{2}=3)m. The area of a full - circle is (A=\pi r^{2}), and the area of a semi - circle is (A_3=\frac{1}{2}\pi r^{2}). Substituting (r = 3)m and (\pi=3.14), we get (A_3=\frac{1}{2}\times3.14\times3^{2}=\frac{1}{2}\times3.14\times9 = 14.13) square meters.

Step5: Calculate the total area of the figure

The total area (A = A_1+A_2+A_3). So (A=60 + 9+14.13=83.13) square meters.

Answer:

83.13