Question

A field is in the form of a rhombus having its side 81 m and altitude 24 m. what is the side of a square field which has the same area as that of the rhombus

Answer 1

Step-by-step explanation:

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A field is in the form of a rhombus having its side 81 m and altitude 24 m. what is the side of a square field which has the same area as that of the rhombus

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The side of the rhombus = 81 m

The altitude of the rhombus = 24 m

Therefore, the area of the rhombus = base × altitude

area of the rhombus = 81 × 24 = 1944 m^2

area of the rhombus = area of the square field.

$area \: of \: the \: square \: \: field = {side}^{2} = 1944 \\ side = \sqrt{1944 } = 44 \: m$

Hence, the side of the square field = 44m