Question

One of the diagonals of a rhombus is 11.6 m , if area of the rhombus is 49.3 square.m , then the length of the other diagonal is
a)8 m
b)8.5 m
c)9 m
d)9.5 m​

Answer 1

Answer:-

• The length of another diagonal of rhombus is 8.5 m

Given:-

• One diagonal (a) = 11.6 m
• Area of rhombus = 49.3 m²

To find:-

• Other diagonal of rhombus

Solution:-

Formula to find area of rhombus

$\bullet \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \boxed{ \mathfrak{ \huge{ \green{area = \frac{1}{2} \times a \times b}}}}}$

Where,

• a = diagonal(1) of rhombus
• b = Diagonal (2) of rhombus

According to question,

$\implies \: \: \: { \rm{ \large{ \frac{1}{2} \times 11.6 \times b = 49.3}}}$

$\implies \: \: \: { \rm{ \large{11.6 \times b = 49.3 \times 2}}}$

$\implies \: \: \: { \rm{ \large{b = \frac{49.3 \times 2}{11.6}}}}$

$\implies \: \: \: { \boxed{ \boxed{ \rm{ \red{ \large{b = 8.5}}}}}}$

Hence:-

• The length of another diagonal of rhombus is 8.5 m
• Correct option is (b)

Answer 2

Step-by-step explanation:

option b

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