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

Explanation:

Step1: Calculate the area of the rectangle on the left

The formula for the area of a rectangle is (A = l\times w). Here, (l = 7) cm and (w = 7) cm. (A_1=7\times7 = 49) (cm^2)

Step2: Calculate the area of the vertical rectangle

The width is (2) cm and the height is (13) cm. (A_2 = 2\times13=26) (cm^2)

Step3: Calculate the area of the semi - circle

The diameter of the semi - circle is (6 + 2=8) cm, so the radius (r=\frac{8}{2}=4) cm. The formula for the area of a semi - circle is (A=\frac{1}{2}\pi r^2). (A_3=\frac{1}{2}\times\pi\times4^2=\frac{1}{2}\times\pi\times16 = 8\pi\approx8\times3.1416 = 25.1328) (cm^2)

Step4: Calculate the total area

(A = A_1+A_2+A_3) (A=49 + 26+25.1328) (A=100.1328\approx100.13) (cm^2)

Answer:

(100.13) square centimeters