RD Sharma - Mathematics

Book: RD Sharma - Mathematics

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

Subject: Maths - Class 8th

Q. No. 16 of Exercise 20.2

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

16

The parallel sides of a trapezium are 25 cm and 13 cm; its nonparallel sides are equal, each being 10 cm, find the area of the trapezium.



In ΔCEF


CE = 10 cm and EF = 6cm


Using pythagorous theorem:


CE2 = CF2 + EF2


CF2 = CE2 - EF2


CF2 = 102 - 62


CF2 = 100-36


CF2 = 64


CF = 8 cm


Area of trapezium = area of parallelogram AECD + area of area of triangle CEF


Area of trapezium =


Area of trapezium =


Area of trapezium = 104 + 48 = 152 cm2


Chapter Exercises

More Exercise Questions