the area of the square is same as the area of Rhombus whose diagonals measure 10 centimetre and 20 cm find the perimeter of the square​

perimeter of square = 35.78 cm

Step-by-step explanation:

cut the rhombus into 4 triangles along the diagonals

each triangle has a base of 5 and a height of 10 cm

area of one triangle = 1/2(4)(10) = 20 cm^2

4 triangles = area of rhombus = 80 cm^2

then the square has an area of 80 cm^2 also

side^2 = 80 cm^2

side of square  = 8.94 cm

perimeter = 8.98 x 4 = 35.78 cm