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Find the PERIMETER of the shape below

Find the PERIMETER of the shape below-example-1
User Danny Lo
by
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2 votes

Answer:

about 24.28 cm

Explanation:

You want the perimeter of a composite figure consisting of a rectangle and a semicircle.

Perimeter

The perimeter is the sum of the side lengths. Here, that is the sum of three straight sides and the arc length of a semicircle.

The three straight sides are 7 cm, 4 cm, and 7 cm long, for a total length of ...

(7 +4 +7) cm = 18 cm

The semicircle has a diameter of 4 cm, so its arc length is ...

(1/2)πd = (π/2)(4 cm) = 2π cm ≈ 6.28 cm

The perimeter, rounded to 2 decimal places is then ...

perimeter = straight side length + curved side length

perimeter = 18 cm + 6.28 cm = 24.28 cm

User Natalie Adams
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