Question

TestUnit: GeometryProgressQuestion ID: 109944The movement of the progress bar may be uneven becouse questions con be worth more or less including zero) depending on your answerA semi-circle sits on top of a rectangle to form the figure below. Find its area and perimeter. Use 3.14 for .4 inA: 41.12 square inches, P 18.28 inchesA41.12 square inches, P,24.56 inchesCA 22.28 square inches, P24.56 inchesCA 22.28 square inches, P 18.28 inchesCOST26tvcea

Answer 1

Given,

The measure of sides of the rectangle is 4 inches and 4 inches.

The measure of diameter of the semicircle is 4 inches.

The area of the figure is,

`\begin{gathered} \text{Area}=\text{area of rectangle+area of semicircle} \\ =\text{length}* breadth+(\pi)/(2)*(radius)^2 \\ =4*4+(\pi)/(2)*(2)^2 \\ =16+2*3.14 \\ =16+6.28 \\ =22.28in^2 \end{gathered}`

The perimeter of the figure is,

`\begin{gathered} \text{perimeter}=\text{sum of thr}ee\text{ sides of rectangle+length of curve line} \\ =\text{4+4+4}+(2\pi r)/(2) \\ =12+3.14*(2) \\ =12+2*3.14 \\ =12+6.28 \\ =18.28in^{} \end{gathered}`

Hence, option D is correct.