given the parallelogram of the perimeter RATU with vertices R(1,3) S(-2,-2) T(4,0) U(7,4):round to the nearest hundredth
Rec1: Rec2: triangle 1: triangle 2: triangle 3: triangle 4:
confusing question.
Where does A come from.
your 4 points R,S,T,U do not form a parallogram
What are Rec1 etc ?
I meant to put S instead of A and I'm trying to find the perimeter of the parallelogram
To find the perimeter of the parallelogram RATU, we need to calculate the sum of all four sides.
Step 1: Find the lengths of the sides of the parallelogram.
Side RT:
RT = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(4 - 1)² + (0 - 3)²]
= √[9 + 9]
= √18
Side AT:
AT = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(7 - 1)² + (4 - 3)²]
= √[36 + 1]
= √37
Side TU:
TU = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(7 - 4)² + (4 - 0)²]
= √[9 + 16]
= √25
= 5
Side UR:
UR = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(1 - 7)² + (3 - 4)²]
= √[36 + 1]
= √37
Step 2: Calculate the perimeter by adding all sides together.
Perimeter = RT + AT + TU + UR
≈ √18 + √37 + 5 + √37
To round the answer to the nearest hundredth, we can use a calculator or a mathematical software tool to get the precise value.