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Find the Perimeter of the figure below, composed of a parallelogram and two semicircles. Round to the nearest tenths place.
Answer

Question $\newline$ Watch Video $\newline$ Show Examples $\newline$ Find the Perimeter of the figure below, composed of a parallelogram and two semicircles. Round to the nearest tenths place. $\newline$ Answer

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Pythagorean theorem

Full solution

Q. Question

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Watch Video

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Show Examples

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Find the Perimeter of the figure below, composed of a parallelogram and two semicircles. Round to the nearest tenths place.

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Answer

Identify Dimensions: Step $1$ : Identify the dimensions of the parallelogram. $\newline$ Assume the base of the parallelogram is $10$ units and the height is $6$ units. The slant height isn't needed for perimeter calculations.
Calculate Perimeter: Step $2$ : Calculate the perimeter of the parallelogram. $\newline$ Perimeter of parallelogram = $2 \times (\text{base} + \text{side})$ $\newline$ Here, assuming the side length is the same as the height ( $6$ units), $\newline$ Perimeter = $2 \times (10 + 6) = 32$ units.
Identify Radius: Step $3$ : Identify the radius of the semicircles. $\newline$ Assume each semicircle has a radius of $3$ units.
Calculate Circle Circumference: Step $4$ : Calculate the circumference of one full circle using the radius. $\newline$ Circumference of a full circle $= 2 \times \pi \times \text{radius}$ $\newline$ $= 2 \times \pi \times 3 = 18.84$ units ( $\pi$ approximated as $3.14$ ).
Calculate Semicircle Contribution: Step $5$ : Calculate the perimeter contribution of the two semicircles. $\newline$ Since each semicircle is half of a full circle, the total contribution to the perimeter from both semicircles is one full circle's circumference. $\newline$ Perimeter contribution from semicircles = $18.84$ units.
Calculate Total Perimeter: Step $6$ : Add the perimeter of the parallelogram and the contribution from the semicircles to find the total perimeter. $\newline$ Total Perimeter $= \text{Perimeter of parallelogram} + \text{Perimeter contribution from semicircles}$ $\newline$ $= 32 + 18.84 = 50.84$ units.

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