Question

What is the largest rhombus that can be drawn inside a rectangle of length 6 cm and breadth 4 cm?

• A. $12c{m}^2$
• B. $16c{m}^2$
• C. $20c{m}^2$
• D. $28c{m}^2$

Answer 1

The correct option is A $12c{m}^2$

If we join the midpoints of the opposite sides of rectangle, we get the longest diagonal of the rhombus.
Area of the largest rhombus in the rectangle $=\frac{1}{2}{d}_1{d}_2=\frac{1}{2}\times 6\times 4=12c{m}^2$