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?

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MrRoyalid MrRoyalid · Answer 1

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

The area of the figure is 218.5 square centimeters

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