#### Question

A field in the form of a rhombus has each side of length 64 m and altitude 16 m. What is the side of a square field which has the same area as that of a rhombus?

#### Solution

Given:

Each side of a rhombus shaped field = 64 m

Altitude = 16 m

We know: Area of rhombus = Side x Altitude

\[ \therefore {\text{ Area of the field }= 64\times16=1024 m}^2 \]

Given: Area of the square field = Area of the rhombus

\[ {\text{ We know: Area of a square }=(\text{ Side })}^2 \]

\[ \therefore {1024=(\text{ Side })}^2 \]

\[ \Rightarrow\text{ Side }=\sqrt{1024}=32 m\]

Thus, the side of the square field is 32 m.

Is there an error in this question or solution?

Solution A Field in the Form of a Rhombus Has Each Side of Length 64 M and Altitude 16 M. What is the Side of a Square Field Which Has the Same Area as that of a Rhombus? Concept: Area of a Polygon.