In the following shape, two semicircles
have been placed at the end of a
rectangle whose length is twice its height.
Which of the following gives the length
around this figure in terms of the
semicircle's radius, r?

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).

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answer: y = 3/2 x - 3

y = 1/8 x - 3/4 that would be your correct option

step-by-step explanation: w