Question

The base of a parallelogram is twice its height. If the area of the parallelogram is 98 $c{m}^2$, what will be its base and height?

• A. 14 cm and 7 cm
• B. 7 cm and 14 cm
• C. 8 cm and 16 cm
• D. 16 cm and 8 cm

Answer 1

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 $c{m}^2$
So, 2$x$ x $x$ = 98
$\Rightarrow$ $x$ x $x$ = 49
$\Rightarrow$ $x$ 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