## Book: RD Sharma - Mathematics

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

#### Subject: Maths - Class 8th

##### Q. No. 2 of Exercise 20.3

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##### Find the area enclosed by each of the following figures [fig. 20.49 (i)-(ii)] as the sum of the areas of a rectangle and a trapezium.

Figure (i)

Area of given figure = Area of trapezium + area of rectangle

Area of given figure =

Area of given figure =

Area of given figure =

Therefore area of given figure is 424 cm2

Figure (ii)

Area of given figure = Area of trapezium + area of rectangle

Area of given figure =

Area of given figure =

Area of given figure =

Therefore area of given figure is 384 cm2

Figure (iii)

Using pythagorous theorem in the right angled triangle

52 = 42 + x2

x2 = 25 – 16

x2 = 9

x = 3 cm

Area of given figure = Area of trapezium + area of rectangle

Area of given figure =

Area of given figure =

Area of given figure =

Therefore area of given figure is 54 cm2

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