Question

12. The base of a parallelogram is three
times its height. If its area is 2028 cm
Find the height and base of the
parallelogram.​

Answer 1

Answer:

let the height of the parallelogram be x cm .then, its base =3×x=3x cm

now, we know that ,

Area of a parallelogram= base ×height

2028=3x×x

2028=3xsquare

√2028=3x

45(approx.)=3x

45÷3 =x

15=x

so, height=x=15 cm

base=3x=3×15=45 cm

Answer 2

Answer:

Let the height of parallelogram be x

and base be 3x (Given in question)

Area of parallelogram = 2028 cm (Given)

According to the question

Area of parallelogram = base × height

2028 = x × 3x

2028 = 3x^2

2028/3 = x^2

676 = x^2

root676 = x

26 = x

x = 26 cm

Therefore;

height is 26 cm

and base is 3x = 3×26 = 78 cm.

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