what is the area of this figure?\nif necessary, round your answer to the nearest hundredth.\nsquare meters

Explanation:

Step1: Calculate the area of the rectangle on the top

The formula for the area of a rectangle is (A = l\times w). The length (l = 11) m and the width (w=2) m. (A_1=11\times2 = 22) square meters.

Step2: Calculate the area of the middle - part rectangle

The length (l = 5) m and the width (w=(11 - 9)=2) m. (A_2 = 5\times2=10) square meters.

Step3: Calculate the area of the bottom - part rectangle

The length (l=(3 + 2)=5) m and the width (w = 2) m. (A_3=5\times2 = 10) square meters.

Step4: Calculate the area of the (\frac{3}{4}) - circle

The radius (r=(3 + 2)=5) m. The formula for the area of a circle is (A=\pi r^{2}). For a (\frac{3}{4}) - circle, (A_4=\frac{3}{4}\pi r^{2}). Substitute (r = 5) into the formula: (A_4=\frac{3}{4}\times\pi\times5^{2}=\frac{3}{4}\times\pi\times25=\frac{75\pi}{4}\approx58.90) square meters.

Step5: Sum up the areas

(A=A_1 + A_2+A_3+A_4) (A=22 + 10+10 + 58.90) (A=100.90) square meters.

Answer:

(100.90)