Mathematics: Molly is making a quilt for her mother. The quilt will have several designs. One of the designs is shown below. What is the total perimeter of the design below?

Molly is making a quilt for her mother. The quilt

bartlettcs9817

28.01.2022

(A) $12+12\sqrt{12}$ .

Step-by-step explanation:

Perimter is the sum of the all sides of a figure.

As the given design has three exactly same or identical triangles with side-lengths $2\sqrt{2}\ in, 2\sqrt{2}\ in, 4\ in$ joined by ending vertices.

Then, the combined operimetr of thge design would be :

3 x (Perimeter of the one triangle)

For this , Perimeter of one triangle = $2\sqrt{2}+2\sqrt{2}+4\ in =(4\sqrt{2}+4) = 4(\sqrt{2}+1) \ in$

Now , the combined operimetr of thge design would be :

$3\times4(\sqrt{2}+1)=12(\sqrt{2}+1)\ in$ or $12+12\sqrt{12}\ in$

Hence, the correct option is (A) $12+12\sqrt{12}$ .

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