Question

Can someone solve this?

Answer 1

B :
`4x√(17)`

Explanation:

If you divide a rhombus using its diagonals, you get 4 right triangles, whose legs are both 1/2 the length of the diagonals.

This means that the legs of one of those 4 triangles have lengths of 2x/2, and 8x/2, so the legs of one of those triangles x and 4x. This makes the length of one side equal to
`\sqrt{x^(2) + (4x)^(2)} = √(17x^2) = x√(17)`. Because all 4 sides are the same length, you multiply this value by 4, and get
`4x√(17)`, which is B.