Respuesta :

Answer:

Height = 5 and Base = 10

Step-by-step explanation:

The base of the parallelogram is twice the perpendicular height of the parallelogram. The area of the parallelogram is 50 cm².

Formula for area of parallelogram = base × height

Base = 2h

Height = h

∴ Area = 2h × h = 50

Solution:

2h × h = 50

2h² = 50

[tex]\frac{2h^{2} }{2} = \frac{50}{2}[/tex]

h² = 25

[tex]\sqrt{h^{2} } = \sqrt{25}[/tex]

h = 5

∴ height = 5 and base = 2(5) = 10

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