Question

A rhombus and a square have the same area. The side of the sparels
6 cm. If one diagonal of the rhombus is 4 cm, find the length of the other
diagonal
(a) 18 cm
(b) 9 cm
(C) 15 cm
(d) 24 cm
​

Answer 1

ans=18

$area \: of \: square = side \times side$

$area \: of \: rhombus = \frac{1}{2 } \times d1 \times d2$

$6 \times 6 = \frac{1}{2} \times 4 \times d2 \\ d2 = 6 \times 6 \times 2 \times \frac{1}{4} \\ d2 = 18$