Mathematics.................
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Answer:
The length around the figure in terms of r is 2r ( + 4).
Step-by-step explanation:
The perimeter of an object is the total length of the boundary of the object.
The figure consists two similar semicircle and a rectangle.
Adding the two semicircles, a complete circle is formed. The circumference of a circle = 2r.
The rectangle has a length which is twice its height.
i.e l = 2h
But,
r = (the diameters of the semicircles equal the height of the rectangle)
⇒ h = 2r
Thus, one side length of rectangle = 2 × 2r (l = 2 × h)
= 4r
The length around the figure in terms of r is:
= 2r + 4r + 4r
= 2r + 8r
= 2r ( + 4)
The length around the figure in terms of r is 2r ( + 4).