Question

If the area of a parallelogram is 100, what is the perimeter of the parallelogram? (1) The base of the parallelogram is 10. (2) One of the angles of the parallelogram is 45 degrees.

Answer 1

48.2842 units is the perimeter of the parallelogram explanation:

Answer 2

48.2842 units is the perimeter of the parallelogram.

Explanation:

Area of the parallelogram = Base × Height

Base of the parallelogram,b = 10 units

Height of the parallelogram = h units

`A=b* h`

`100 unit^2=10 units* h`

h = 10 units

In triangle , ABC

`\sin 45^oC=(AC)/(AB)=(10)/(s)`

Side of the parallelogram AB = s =14.1421 units

Perimeter of parallelogram : 2(s+b) = 2(14.1421+10) units=48.2842 units.