Question

Explain me step by step plz​

Answer 1

28 cm

Explanation:

The 4 parallelograms are congruent.

The height and base of each parallelogram are equal.

`h=(14)/(2)`

`h=7`

Area of each parallelogram:

`A=(308)/(4)`

`A=77`

Apply the formula for the area of a parallelogram.

`A=bh`

`b=base\\h=height`

Solve for base.

`77=b(7)`

`(77)/(7) = b`

`11=b`

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

`y=11+6+11`

`y=28`

Answer 2

28

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.