Question

a field is in the form of a rhombus having each side 81 metre and altitude 25meter what is the side of square field which has the same area as that of the rhombus​

Answer 1

Answer:

Given: The side of the rhombus = 81 m

The altitude of the rhombus = 25m

Since rhombus is also a parallelogram.

Therefore, the area of the rhombus =base\times\ altitudebase× altitude

Thus, the area of the rhombus =81\times\ 25=2025\ m^281× 25=2025 m

2

Since the area of the rhombus is equal to the area of the square field .

Thus, the area of the square field =side^2=2025side

2

=2025

Square root on both sides, we get

side=\sqrt{2025}=45\ mside=

2025

=45 m

Hence, the side of the square field =45m