Question

Identity and calculate area and perimeter for polygon.

Answer 1

`Area= 35.84mm^2\\\\Perimeter=25.6mm`

Explanation:

The given parallelogram is in the shape of a rhombus with the given side
`a=6.4 mm` and height
`h= 5.6 mm`.

Perimeter of the rhombus with the given side 'a' is :

`Perimeter= a+a+a+a=4a= 4(6.4)= 25.6 mm\\Perimeter = 25.6 mm`

Area of the Parallelogram:

`= Base * Height\\\\ = a* h\\\\=6.4mm*5.6mm\\\\=35.84mm^2`

`Area= 35.84mm^2\\\\Perimeter=25.6mm`

Answer 2

Explanation:

The given figure is a parallelogram. The opposite sides of a parallelogram are equal and parallel.

The perimeter of a plane figure is the distance around it. Since the length of each side of the parallelogram is a, the perimeter would be

Perimeter = 4a = 4 × 6.4 = 25.6mm

The area of a parallelogram is expressed as

Area = bh

Where b and h are the length of the base and the height respectively.

Area = 6.4 × 5.6 = 35.84 mm²