Question

A parallelogram has an area of ​​648 cm2 If the ratio of the length of the base and the height of the parallelogram is 6 : 3, then..

1. The length of the parallelogram =
2. The height of the parallelogram =​

Answer 1

Let the length of the base of the parallelogram be 6x and the height be 3x. Then, we can use the formula for the area of a parallelogram:

Area = base x height

Substituting the given values, we get:

648 = (6x) x (3x)

Simplifying, we get:

648 = 18x^2

Dividing both sides by 18, we get:

x^2 = 36

Taking the square root of both sides, we get:

x = ±6

Since the length and height of the parallelogram must be positive, we can ignore the negative value of x.

Therefore, the length of the parallelogram is:

6x = 6(6) = 36 cm

And the height of the parallelogram is:

3x = 3(6) = 18 cm

So the length of the parallelogram is 36 cm and the height of the parallelogram is 18 cm.

Explanation: