If the base of a parallelogram is twice of its height and area is 98 s

1.	If the base of a parallelogram is twice of its height and area is 98 sq. cms, then its base is ………… cms. A) 16 B) 21 C) 7 D) 14
Answer» Correct option is D) 14 Let the height of parallelogram be x cm. \(\therefore\) Base = 2x cm Now, Area = Base x Height ⇒ Area = 2x \(\times\) x = 2x²cm² But the given that = 98 cm² \(\therefore\) 2x² = 98 ⇒ x² = 98/2 = 49 = 7² ⇒ x = 7 cm \(\therefore\) Base = 2x = 2 x 7 = 14 cm

If the base of a parallelogram is twice of its height and area is 98 sq. cms, then its base is ………… cms. A) 16 B) 21 C) 7 D) 14

Answer»

Correct option is D) 14

Let the height of parallelogram be x cm.

\(\therefore\) Base = 2x cm

Now, Area = Base x Height

⇒ Area = 2x \(\times\) x = 2x²cm²

But the given that = 98 cm²

\(\therefore\) 2x² = 98

⇒ x² = 98/2 = 49 = 7²

⇒ x = 7 cm

\(\therefore\) Base = 2x = 2 x 7 = 14 cm