Question

a field is in the form of a rhombus having its side 81 m and altitude 25m.what is the side of a square field which has the same area as that of the rhombus?

Answer 1

AREA OF RHOMBUS= BASE × ALTITUDE
= 81×25
=2025
AREA OF SQUARE= SIDE ×SIDE
〈a〉²=2025
side=a=√2025
= 45m

Answer 2

Answer: 45 m

Step-by-step explanation:

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 =$base\times\ altitude$

Thus,  the area of the rhombus =$81\times\ 25=2025\ m^2$

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

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

Square root on both sides, we get

$side=\sqrt{2025}=45\ m$

Hence, the side of the square field =45m