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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? - Mathematics

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ConceptArea of a Polygon

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.

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APPEARS IN

 RD Sharma Solution for Mathematics for Class 8 by R D Sharma (2019-2020 Session) (2017 to Current)
Chapter 20: Mensuration - I (Area of a Trapezium and a Polygon)
Ex. 20.1 | Q: 21 | Page no. 14
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.
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