The area of a parallelogram is 338 square metre if its altitude is twice the corresponding base determine the base and the altitude
Answers
Given:
Area of a parallelogram is 338 metre².
Its attitude is twice the corresponding base.
Find:
The base and altitude of the Parallelogram
Solution:
Let the base of the Parallelogram be 'b' m.
Let the height of the Parallelogram be 'h' m.
If its attitude is twice the corresponding base.
=> h = 2b .......(i).
We know that,
The area of parallelogram = base × height
Putting the value of h from equation (i).
=> 338 = b × h
=> 338 = b × 2b
=> 338 = 2b²
=> 338/2 = b²
=> 169 = b²
=> √169 = b
=> 13 = b
=> b = 13m
Put the value of 'b' in equation (i).
=> h = 2b
=> h = 2 × 13
=> h = 26m
Hence, the height of the Parallelogram is 26 m and base of parallelogram is 13m.
I hope it will help you.
Regards.
Step-by-step explanation:
Let base be a
So Altitude be 2a
Area of Parallelogram = Base×Altitude
So altitude = 2a = 2×13 = 26
please mark as Brainliest