Question

The area of a rhombus with one diagonal 18.72cm long is the same as the area of a square of side 15.6cm. Find the length of the other diagonal of the rhombus.
(include figure)

Answer 1

area of rhombus = area of square
$\frac{1}{2} \times d1 \times d2 = {side}^{ 2}$
$\frac{1}{2} \times 18.52 \times d2 = {15.6}^{2}$
$9.25 \times d2 = 15.6 \times 15.6$
d2= 243.36/9.25 = 26.30 cm