if the two diagonals of a rectangle having 5x+2 and 4x+7 then find it's perimeter ?

since the diagonals are equal,

5x+2 = 4x+7
x = 5

Knowing the diagonals does not help in determining the lengths of the sides. However, if we go with integers, then the halves of the rectangle are 3-4-5 right triangles.

So, the perimeter is 2(3+4) = 14.