The area of a rhombus is 480 cm2, and one of its diagonals measures 48 cm. Find (i) the length of the other diagonal, (ii) the length of each of its sides, and (iii) its perimeter.

Given:


Area of rhombus = 480 cm2


Length of diagonal 1 (d1) = 48 cm



Let, Length of diagonal 2 be d2


(i) Area of rhombus = 1/2 × d1 × d2


480 = 1/2 × 48 × d2



d2 = 20 cm


Therefore,


Length of other diagonal = 20 cm


(ii) Side of rhombus = 1/2 × √(482 + 202)


= 1/2 × √(2304 + 400)


= 1/2 × √2704


= 1/2 × 52


= 26 cm


Therefore,


Side of rhombus = 26 cm


(iii) Perimeter of rhombus = 4 × side


= 4 × 26 cm


= 104 cm


Therefore,


Perimeter of rhombus = 104 cm


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