Question

One side of the parallelogram is 4.8 cm and the other is $\dfrac{3}{2}$ times the first side . Find the perimeter of the parallelogram

Answer 1

Hint: We are given one side a and the other side is $\dfrac{3}{2}$ times of a . So we get the other side by multiplying $\dfrac{3}{2}$ by a and the perimeter of the parallelogram is given by 2 * ( sum of the sides)

Complete step-by-step answer:
We are given that one side of the parallelogram is 4.8 cm
That is , a = 4.8 cm

We are given that the other side is $\dfrac{3}{2}$ times the first side
Let the other side be b
Therefore b = $\dfrac{3}{2}$ times a
$
   \Rightarrow b = \dfrac{3}{2}*4.8 \\
   \Rightarrow b = 3*2.4 = 7.2cm \\
$
Now we have the sides of the parallelogram to be 4.8 cm and 7.2 cm
Perimeter of parallelogram = 2 * ( sum of the sides)
 $
   = 2(a + b) \\
   = 2(4.8 + 7.2) \\
   = 2(12) \\
   = 24cm \\
$
Therefore the perimeter of the parallelogram is 24 cm.

Note: In a parallelogramABCD,
1.Opposite sides are congruent (AB = DC).
2.Opposite angles are congruent (D = B).
3.Consecutive angles are supplementary (A + D = 180°).
4.If one angle is right, then all angles are right.
5.The diagonals of a parallelogram bisect each other.
6.Each diagonal of a parallelogram separates it into two congruent triangles.