what is the perimeter of a square with sides that are
sqrt3 + sqrt5 on every side?
what is the area? not perimeter
area= (sqrt3 + sqrt5 )(sqrt3 + sqrt5 )
Multiply it out. I will be happy to critique your thinking and work.
To find the perimeter of a square, you simply need to add up the lengths of all four sides. In this case, each side of the square has a length of √3 + √5.
To calculate the perimeter, you would multiply the length of one side by 4:
Perimeter = (√3 + √5) + (√3 + √5) + (√3 + √5) + (√3 + √5)
= 4(√3 + √5)
= 4√3 + 4√5
So, the perimeter of the square is 4√3 + 4√5.
As for the area of a square, you multiply the length of one side by itself. In this case, the length of one side is (√3 + √5).
Area = (√3 + √5)(√3 + √5)
= (√3)^2 + (√3)(√5) + (√5)(√3) + (√5)^2
= 3 + √15 + √15 + 5
= 8 + 2√15
So, the area of the square is 8 + 2√15.