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snog

Answer:

28

Step-by-step explanation:

We know that the heights and bases of all of the parallelograms will be the same because they are equal, therefore, since the height of 2 parallelograms is 14, the height of one parallelogram is 14 / 2 = 7. Since the areas of all of the parallelograms are congruent, the area of one parallelogram is 308 / 4 = 77. The parallelogram area formula is A = bh where A, b and h are area, base and height respectively and we know both the area and height so we need to solve for b. Doing so we get 77 = b * 7 so that means b = 11. The length of y is two bases + 6 and since we know the base is 11, y = 11 * 2 + 6 = 22 + 6 = 28.

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Answer:

28 cm

Step-by-step explanation:

The 4 parallelograms are congruent.

The height and base of each parallelogram are equal.

[tex]h=\frac{14}{2}[/tex]

[tex]h=7[/tex]

Area of each parallelogram:

[tex]A=\frac{308}{4}[/tex]

[tex]A=77[/tex]

Apply the formula for the area of a parallelogram.

[tex]A=bh[/tex]

[tex]b=base\\h=height[/tex]

Solve for base.

[tex]77=b(7)[/tex]

[tex]\frac{77}{7} = b[/tex]

[tex]11=b[/tex]

The sum of 2 bases of the 2 parallelograms and 6 centimeters is the value of y.

[tex]y=11+6+11[/tex]

[tex]y=28[/tex]

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