Answer: Perimeter = 10√5 + 4√11
Step-by-step explanation:
The width of the rectangle is 2 times the square root of 5 plus 3 times the square root of 11. It means that
W = 2√5 + 3√11
The length of the rectangle is 3 times the square root of 5 minus the square root of 11. It means that
L = 3√5 - √11
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(Length+ Width)
Therefore,
Perimeter = 2(2√5 + 3√11 + 3√5 - √11)
Perimeter = 2(2√5 + 3√5 + 3√11 - √11)
Perimeter = 2(5√5 + 2√11)
Expanding the brackets, it becomes
Perimeter = 10√5 + 4√11
