Question

9. The area of Rhombus is 210 cm2. If one of its diagonals is 14cm, then find its other diagonal.
​

Answer 1

$\huge{\bold{\underline{\underline{Given:-}}}}$

• Area of rhombus = 210cm²
• One diagonal = 14cm

$\huge{\bold{\underline{\underline{To\:Find:-}}}}$

• Length of the other Diagonal

$\huge{\bold{\underline{\underline{Solution:-}}}}$

Area of rhombus = 210cm²

Length of 1 Diagonal = 14cm

Length of the other Diagonal be 'x'

Area of rhombus

$= \frac{product \: of \: diagnals}{2}$

$= > {210cm}^{2} = \frac{14 \times x}{2}$

$= > 210 \times 2 = 14 \times x$

$= > \frac{420}{14} = x$

$= > x = 30cm$

So,

Length of the other Diagonal is 30cm