Answer:
The length of side PQ is 2 units.
The length of side QR is 2.24 units.
The perimeter of the parallelogram PQRS is about 8.48 units.
Step-by-step explanation:
The given figure is as follows :
To find - The length of side PQ is ....... units.
The length of side QR is about ......... units.
The perimeter of the parallelogram PQRS is ........
Solution -
From the figure , we can see that
P = (-5, 3)
Q = (-3, 3)
R = (-4, 1)
S = (-6, 1)
Now,
By distance formula, we get
PQ = √(3 - 3)² + (-3 + 5)²
= √0 + 2²
= √4
= 2
∴ we get
The length of side PQ is 2 units.
Now,
QR = √(1 - 3)² + (-4 + 3)²
= √(-2)² + (-1)²
= √4 + 1
= √5
= 2.236
∴ we get
The length of side QR is 2.24 units.
Now,
We know that,
Perimeter of Parallelogram = 2(a + b) where a is the base and b is the side
Here Given that,
a = 2
b = 2.24
So,
Perimeter of parallelogram PQRS = 2(2 + 2.24)
= 2(4.24)
= 8.48
∴ we get
The perimeter of the parallelogram PQRS is about 8.48 units.
