A half-circle is joined to an equilateral triangle with side lengths of 12 units. What is the perimeter of the resulting shape? Write your answer as a decimal rounded to the nearest tenth. Do not include the label.

P = 42.84  cm

Step-by-step explanation:

A half-circle is joined to an equilateral triangle with side lengths of 12 units.

We need to find the perimeter of the resulting shape.

The perimeter of the half cirle is πr.

The diameter of the circle is 12. It means radius is 6 units.

An equilateral triangle has 3 equal sides. So, perimeter of the triangle is given by :

P = πr  + 12 +12

= 3.14(6) + 24

= 42.84  cm

Hence, the perimeter of the resulting shape is 42.84  cm.

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