Find the area of the following fields in figure 1. All dimensions are in metres.
Solution:
The area of the field represented by the above diagram is given as the some of the areas of various various shapes it is made up of
Area of the field(A) = Area of △EFH + Area of rectangle CDEI + Area of Trapezium FGJH + Area of Trapezium BCIK + Area of △AJG + Area of △BKA
Area of the field(A) = 1/2 × 80 × 40 + (160 × 100) + 1/2 × (40 + 160) × 160 + 1/2 × (100 + 60) × 120 + 1/2 × 100 × 160 + 1/2 × 60 × 60
Area of the Field(A) = 1600 + 16000 + 16000 + 9600 + 8000 + 1800 = 53,000 m²
✦ Try This: Find the area of the following fields. All dimensions are in metres
The area of th field represented by the above diagram is given as the some of the areas of various various shapes it is made up of
Area of the field(A) = Area of △EFH + Area of rectangle CDEI + Area of Trapezium FGJH + Area of Trapezium BCIK + Area of △AJG + Area of △BKA
Area of the field(A) = 1/2 × 100 × 60 + (200 × 120) + 1/2 × (180 + 60) × 200 + 1/2 × (120 + 80) × 160 + 1/2 × 140 × 180
Area of the Field(A) = 3000 + 24000 + 24000 + 16000 + 3200 + 12600 = 82,800 m²
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 11
NCERT Exemplar Class 8 Maths Chapter 11 Problem 76
Find the area of the following fields in figure 1. All dimensions are in metres
Summary:
The area of the field is 53,000 m²
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