Question

please solve my question urgently a field in the form of rhombus of each side 46 M and of altitude 23 m is equal to the area of a square field find the diagonal and side of the square field

Answer 1

$<b><u>Rhombus</b></u>$

Side = 46 m

Altitude = 23 m

$<b><u>Square</b></u>$

Let, side = A m

A.T.Q.

$<u>Area of rhombus = Area of square</u>$

Side × Altitude = ( Side )²

46 × 23 = ( A )²

A = √( 46 × 23 )

A = √( 23 × 23 × 2 )

A = 23√2 m

$<b>Side of square = 23√2 m</b>$

Diagonal of square = √2 × Side

= √2 × 23√2

= 23 × 2

$<b>Diagonal of square = 46 m</b>$