what is the perimeter of a computer graphic with sides measuring 5 square root , 6 square root 108 , 2 square root 147 and 5 square root 8.
To find the perimeter of a computer graphic with four sides measuring 5√, 6√108, 2√147, and 5√8, we need to add up the lengths of all four sides.
First, let's simplify the given square root values:
- 5√ = 5 times the square root of 1 = 5
- 6√108 = 6 times the square root of 36 = 6 times 6 = 36
- 2√147 = 2 times the square root of 49 = 2 times 7 = 14
- 5√8 = 5 times the square root of 4 = 5 times 2 = 10
Now, let's add up the four side lengths to find the perimeter:
Perimeter = 5 + 36 + 14 + 10 = 65
Therefore, the perimeter of the computer graphic is 65 units.
To find the perimeter of a polygon, you need to add up the lengths of all its sides.
Given the lengths of the sides of the computer graphic:
Side 1: 5√8
Side 2: 6√108
Side 3: 2√147
Side 4: 5√8
To calculate the perimeter, we need to simplify the given square roots:
√8 = √(4 * 2) = 2√2
√108 = √(36 * 3) = 6√3
√147 = √(49 * 3) = 7√3
Now we can substitute these values back into the sides:
Side 1: 5 * 2√2 = 10√2
Side 2: 6 * 6√3 = 36√3
Side 3: 2 * 7√3 = 14√3
Side 4: 5 * 2√2 = 10√2
Now, we can calculate the perimeter:
Perimeter = Side 1 + Side 2 + Side 3 + Side 4
= 10√2 + 36√3 + 14√3 + 10√2
Combining like terms:
Perimeter = (10√2 + 10√2) + (36√3 + 14√3)
= 20√2 + 50√3
Therefore, the perimeter of the computer graphic is 20√2 + 50√3.