In a parallelogram the ratio of a side to the altitude drawn to that side is 2:1. If the area of the parallelogram
Answers
Answer:
The answer is 5.
Step-by-step explanation:
The Accurate Question -
In a parellelogram,the ratio of a side to the altitude drawn to that side is 2:1 . If the area of the parellelogram is 50 cm,find the altitude.
To Find -
The Altitude.
Solution -
Consider the -
Common ratio as - x.
Hence, ratio will be 2x and 1x
Now,
Area is 50 cm²
As we know,
Area of parallelogram = Length × Altitude.
Now,
Consider the -
Altitude - 1x
Length - 2x
ATQ,
⇒ 2x × x = 50
Now,
⇒ 2x² = 50
Dividing with 2,
⇒ x² = 25
⇒ x = √25
⇒ 5.
∴ The answer is 5.
Step-by-step explanation:
Your question have some missings. So, I write the correct question here.
Question:
In a parallelogram the ratio of a side to the altitude drawn to that side is 2:1. If the area of the parallelogram is 50 cm then find the value of the altitude of the parallelogram.
Solution:
Let us consider the ratio as x.
So, the ratio will be 2x and x.
Given,
Area of the parallelogram = 50 cm²
As we know that, how to find the area of parallelogram. So the formula of finding the area of the parallelogram is:
Area of parallelogram = Length of the parallelogram × Altitude of the parallelogram
Now,
Let the altitude be x.
and, the length be 2x.
According to the question,
=> 2x × x = 50
=> 2x² = 50
On dividing by 2,
50 is cancelled and converted into 25.
=> x² = 25
=> x = √25
=> x = 5
Therefore, the altitude of the parallelogram is 5 cm.