Question

2. The area of a rhombus is 225 sq. cm. If the length of one diagonal is 15 cm, find the length of the other diagonal​

Answer 1

since, area of rhombus= d1 × d2/2

225=d1 ×15/2

225×2/15=d1

30cm = d1

Answer 2

❏ GIVEN :

• Area of the rhombus (a) = 225 cm²
• Length of one diagonal (d) = 15 cm.

❏ TO FIND :

• The length of the other diagonal.

❏ SOLUTION :

• Suppose the other diagonal $\bf\red{=x }$

★══════════════════════★

✯ According to the formula :-

$\huge \color{blue}{\boxed{ \boxed{ \sf \color{blue}{A = \dfrac{1}{2} \times D \times x }}}}$

Where :

• A = Area of the rhombus
• D = Known diagonal of the rhombus
• x = Unknown diagonal of the rhombus

➲ Putting all values :

$➨ \: \tt{225 = \dfrac{1}{2} \times 15x }$

$➨ \: \tt{225 = \dfrac{15x}{2} }$

$➨ \: \tt{225 \times 2 = 15x }$

$➨ \: \tt{450 = 15x }$

$➨ \: \tt{15x = 450 }$

$➨ \: \tt{x = \dfrac{ \cancel{450}^{ \red{30}}}{ \cancel{15}{ \red{_1}}} }$

$➥ \: \tt \pink{x = 30}$

∴ The length of the other diagonal = 30 cm.

❏ ANSWER :

• The length of the other diagonal of the rhombus is 30 cm.

★══════════════════════★