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Find the Area of the Field Shown in Fig. 20.39 by Dividing It into a Square, a Rectangle and a Trapezium. - Mathematics

Sum

Find the area of the field shown in Fig. 20.39 by dividing it into a square, a rectangle and a trapezium.

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Solution

The given figure can be divided into a square, a parallelogram and a trapezium as shown in following figure:


From the above figure:

Area of the figure=(Area of square AGFM with sides 4 cm)+(Area of rectangle MEDN with length 8 cm and width 4 cm)+(Area of trapezium NDCB with parallel sides 8 cm and 3 cm and perpendicular height 4 cm

\[= (4\times4)+(8\times4)+[\frac{1}{2}\times(8+3)\times(4)]\]

\[= 16+32+22\]

\[ {= 70 cm}^2\]

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 20 Mensuration - I (Area of a Trapezium and a Polygon)
Exercise 20.2 | Q 20 | Page 24
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