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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

TestUnit GeometryProgressQuestion ID 109944The Movement Of The Progress Bar May Be Uneven Becouse Questions Con Be Worth More Or Less Including Zero Depending O class=

Sagot :

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,

[tex]\begin{gathered} \text{Area}=\text{area of rectangle+area of semicircle} \\ =\text{length}\times breadth+\frac{\pi}{2}\times(radius)^2 \\ =4\times4+\frac{\pi}{2}\times(2)^2 \\ =16+2\times3.14 \\ =16+6.28 \\ =22.28in^2 \end{gathered}[/tex]

The perimeter of the figure is,

[tex]\begin{gathered} \text{perimeter}=\text{sum of thr}ee\text{ sides of rectangle+length of curve line} \\ =\text{4+4+4}+\frac{2\pi r}{2} \\ =12+3.14\times(2) \\ =12+2\times3.14 \\ =12+6.28 \\ =18.28in^{} \end{gathered}[/tex]

Hence, option D is correct.

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