Question

the area of a parallelogram is 98 square meter. If one altitude is half its corresponding base, determine the base and the altitude of the parallelogram

Answer 1

Hi ,

Let

the base of the parallelogram = b cm

Corresponding altitude ( h ) = b/2 cm

Area = 98 cm² ( given )

base × altitude = 98

b × b/2 = 98

b² = 196

b = √196

b = 14 cm

Therefore ,

Base ( b ) = 14 cm

Attitude ( h ) = b/2 = 14/2 = 7 cm

I hope this helps you. :)

Answer 2

Answer:

Let the base of parallelogram be x m.

Altitude of parallelogram = x/2 m.

Area of parallelogram = Base × Altitude

98 = (x) × (x/2)

x^2 = 196

x = 14 metre.

Base is 14 metre.

Altitude is 7 meter.