RD Sharma - Mathematics

Book: RD Sharma - Mathematics

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

Subject: Maths - Class 8th

Q. No. 15 of Exercise 20.1

Listen NCERT Audio Books to boost your productivity and retention power by 2X.

15

The length of a side of a square field is 4 m. What will be the altitude of the rhombus, if the area of the rhombus is equal to the square field and one of its diagonal is 2 m?

Length of square = 4 m


Area of square = side2


Area of square = 4 × 4 = 16 m2


Area of square = area of rhombus


Area of rhombus = 16 m2


Area of rhombus =


16 =


Other diagonal of rhombus = 16 m


In ΔAOB



Using pythagorous theorem:


AB2 = OA2 + OB2


AB2 = 82 + 12


AB2 = 65


AB =


Rhombus is a parallelogram, area of parallelogram = base× altitude


Area of parallelogram = AB × DE


Area of parallelogram = × DE


DE =


Altitude of Rhombus = cm


Chapter Exercises

More Exercise Questions