Answered

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A rectangle, a triangle, and two congruent semicircles were used to form the figure shown.

8 cm; 4cm; 6cm; 3 cm.

Which measurement is closest to the area of the figure in square centimeters?

Sagot :

MrRoyal

The area of a shape is the amount of space it occupies

The area of the figure is 218.5 square centimeters

How to determine the area of the shape

We start by calculating the area of the rectangle using:

[tex]Area = Length * Width[/tex]

[tex]A_1 = 5cm * 20cm[/tex]

[tex]A_1 = 100cm^2[/tex]

Next, we calculate the area of the triangle using:

[tex]Area = 0.5 * base * Height[/tex]

[tex]A_2 = 0.5 * 10cm * 8cm[/tex]

[tex]A_2 = 40cm^2[/tex]

Lastly, calculate the area of the two semicircles

[tex]Area =\pi r^2[/tex]

[tex]A_3 = 3.14 * 5^2[/tex]

[tex]A_3 = 78.5[/tex]

So, the area of the shape is:

[tex]Area = A_1 + A_2 + A_3[/tex]

[tex]Area = 100cm^2 + 40cm^2 + 78.5cm^2[/tex]

[tex]Area = 218.5cm^2[/tex]

Hence, the area of the figure is 218.5 square centimeters

Read more about areas at:

https://brainly.com/question/17297081

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