Question

If the diagonals of a parallelogram whose all four sides are equal are 14 cm and 16 cm, then what is the area of the parallelogram?

• A. $30{\text{cm}}^2$
• B. $60{\text{cm}}^2$
• C. $61{\text{cm}}^2$
• D. $112{\text{cm}}^2$

Answer 1

The correct option is D $112{\text{cm}}^2$

If all four sides of a parallelogram are equal, then it is a rhombus.
Hence Area of the parallelogram = Area of the rhombus
= $\frac{1}{2}\times \text{Product of its diagonals}$
= $\frac{1}{2}\times 14\times 16$
= $7\times 16=112{\text{cm}}^2$