3. Two sides of a parallelogram are in the ratio 4:3. If its perimeter is 56 cm, find the lengths
of its sides.
Answers
Answer:
12
,
16 cm
Explanation:
If the two sides have a ratio of
3
:
4
, that means their sides can be represented as
3
x
and
4
x
, which also have a ratio of
3
:
4
.
Thus, if the sides of a parallelogram are
3
x
and
4
x
, its perimeter is equal to the following expression:
P
=
2
(
3
x
)
+
2
(
4
x
)
The perimeter is
56
.
56
=
2
(
3
x
)
+
2
(
4
x
)
Divide both sides by
2
.
28
=
3
x
+
4
x
28
=
7
x
x
=
4
Plug these back into our side lengths:
3
x
and
4
x
3
(
4
)
=
12 cm
4
(
4
)
=
16 cm
Hope you are fine
We know that opposite side of parallelogram are equal
So Perimeter of Parallelogram is = 2 ( l + b )
Given
Two sides of parallelogram are in ratio 4:3
Let one side be 4x
Let second side be 3x
Given perimeter = 56 cm
2 ( l + b ) = 56
2 ( 4x + 3x ) = 56
7x = 28
x = 4
First side = 4(4) = 16cm
Second Side = 3(4) = 12cm
Since Opposite sides of parallelogram are equal
So all sides of parallelogram = 16cm , 12cm , 16cm , 12cm