Question

The area of a rhombus is $24 m^2$ and the length of one of its diagonals is 8 m. The length of each side of the rhombus will be:

• A. 10 m
• B. 5 m
• C. 4 m
• D. 6 m

Answer 1

Answer:

B. 5 m

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

⇒ Length of the other diagonal = ${(24\times{2})}{8}$

⇒ Length of the other diagonal = 6

(Side of rhombus)² = (half of one diagonal)² + (half of other diagonal)²

⇒ (Side of rhombus)² = 3² + 4²

∴ Side of rhombus = 5 m