The altitude of a parallelogram is twice of the length of base and its area is 900cm^2. The length of base and altitude respectively are
Answers
Answer:
m. -----> length
m -----> altitude
Step-by-step explanation:
The altitude is just a fancy word that means the height of a parallelogram.
Let the length of the base of a parallelogram be x.
Since the height is twice the length of the base, it is 2(x) = 2x.
Now, we know that base times height gets us the area of a parallelogram.
Let us divide both sides by 2 to get rid of the coefficient on the LHS.
Now, when we take the square root of both sides,
Let us simplify this expression in the square root, such that it involves one perfect square and another imperfect square.
450 = 3 x 150 = 3 x 50 x 3 = 50 x 9.
Now, 9 is a perfect square.
So, can be written as .
This can be simplified further.
50 = 25 x 2.
25 is a perfect square.
This cannot be simplified further.
m. -----> length
m -----> altitude