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14. Two sides of a parallelogram are in the ratio 5 : 3 and its perimeter is 48 cm. Find the length of each of its sides.
Question
14. Two sides of a parallelogram are in the ratio 5 : 3 and its perimeter is 48 cm. Find
the length of each of its sides.
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Mathematics
1 year
2021-08-20T17:44:04+00:00
2021-08-20T17:44:04+00:00 2 Answers
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Answers ( )
Answer:
length = 15
breadth = 9
Step-by-step explanation:
let the ratio constants be x
so length = 5x
breadth = 3x
area of parallelogram= 2 (l+b) = 2 (5x + 3x) = 2 (8x)
= 16x = 48
= x = 48/16
= x = 3
so length = 5× x = 5× 3 = 15
and breadth = 3 × x = 3 × 3 = 9
Answer :-
Given :-
To Find :-
Formula :-
Perimeter of the parallelogram = 2( length + breadth)
Solution :-
Let the length and breadth be 5x and 3x
2(5x + 3x) = 48cm
2(8x) = 48cm
x = 48/16
x = 3cm
Length = 5x = 5×3cm = 15cm
Breadth = 3x = 3×3cm = 9cm
We know that,
In parallelogram Opposite sides are equal
Hence, The sides of the Parallelogram are 15cm, 9cm, 15cm and 9cm