Question

the area of a rhombus is 240 cm square and onebof the diagonal is 16 cm. find th other diagonal.

Answer 1

Area of rhombus
$\frac{1}{2} \times product \: of \: diagonals$

$\frac{1}{2 } \times d1 \times d2 = 240 \\ \frac{1}{2} \times16 \times d2 = 240 \\ d2 = 30$

Answer 2

Define x:

Let the unknown length of the diagonal be x

Solve x :

Area = 1/2 ( diagonal 1 x diagonal 2)

240 = 1/2 ( 16x)

240 = 8x

8x = 240

x = 240 ÷ 8

x = 30 cm

Answer: The other diagonal is 30 cm