Question

the area of rhombus is 240cm and one diagonal is 16cm find the other diagonal

Answer 1

since area of rhombus= 1/2×d1+d2
240=1/2×16×d2
240=8×d2
240÷8=d2
d2=30cm

Answer 2

The value of other diagonal in 30 cm.

Solution:

The area of the given rhombus is 240cm. A rhombus has two diagonal, which connect the opposite vertices, and the parallel sides. Thus using congruent triangles it can be said that a rhombus is symmetry along the diagonals.

Therefore, the “area of the rhombus” is equal to $\frac{1}{2} D 1 \times D 2=\frac{1}{2} \times 16 \times D 2$

Now the “area of the rhombus” is given as $240 \mathrm{cm}^{2}$ which if equated gives  

$240=\frac{1}{2} \times 16 \times D 2$

 $D2=30cm.$

Therefore, one of the diagonals of the rhombus of area 240, is 16 and the other one is 30cm.