The base of a parallelogram is twice its height. If the area of the parallelogram is 98 cm2, what will be its base and height?
14 cm and 7 cm
7 cm and 14 cm
8 cm and 16 cm
16 cm and 8 cm
The correct option is A 14 cm and 7 cm Let the height of the parallelogram be'x'. Then the base of the parallelogram will be '2x' Also, we know, area of a parallelogram = base x height Now, it is given that the area of the parallelogram = 98 cm2 So, 2x x x = 98 ⇒x x x = 49 ⇒x x x = 7 x 7 cm So, x = 7 cm So, we have height = x = 7 cm and base = 2x = 2 x 7 = 14 cm