RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 20. Mensuration-I (Area of a Trapezium and a Polygon)

Subject: Maths - Class 8th

Q. No. 21 of Exercise 20.1

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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?

Side of rhombus = 30 m

Altitude of rhombus = 16 m

Rhombus is a type of parallelogram

Area of parallelogram = base × altitude

Area of parallelogram = 64 × 16 = 1024 m2

Since area of rhombus = area of square

Area of square = side2

Side of a square =

Side of square =

Therefore side of square = 32 m

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