the ratio of two sides of a parallelogram is 2:3 if its perimeter is 80 CM find the length and breadth ---- with explanation
Answers
Here the ratio of two sides of a parallelogram is given to be 2:3
Also, the perimeter if given to be 80 cm
We have to find the length and breadth
Let the length and breadth be 2x and 3x
So, perimeter = 2 ( length + breadth )
80 = 2 ( 2x + 3x )
40 = 5x
x = 8
So, length = 2x
= 2 × 8
= 16
Breadth = 3x
= 3 × 8
= 24
Hence, the length and breadth will be 16 cm and 24 cm
The length is 16 CM and the breadth is 24 CM.
Given: The ratio of two sides of a parallelogram is 2:3
Solution :
Let, the length and breadth of the adjacent sides be 2x and 3x respectively.
Also, the perimeter is = 80 CM
Therefore,
2(2x+3x) = 80
or, 10x = 80
or, x= 80÷10
or, x = 8
Thus, the adjacent sides of the parallelogram are 16 CM and 24 CM.