Find the area of the following fields in figure 2. All dimensions are in metres.
Solution:
Area of the Field(A) =Area of △CFD + Area of △EGD + Area of Trapezium HBCF + Area of △GED + Area of △AEG + Area of △HBA
Area of the Field (A) = 1/2 × 100 × 100 + 1/2 × 180 × 120 + 1/2 × (100 + 50) × 110 + 1/2 × 120 × 80 + 1/2 × 50 × 50
Area of the field(A) = 5000 + 10800 + 8250 + 4800+ 1250 = 30,100m²
✦ Try This: Find the area of the following fields. All dimensions are in metres
Area of the Field(A) = Area of △CFD + Area of △EGD + Area of Trapezium HBCF + Area of △GED + Area of △AEG + Area of △HBA
Area of the Field(A) = 1/2 × 120 × 120 + 1/2 × 150 × 220 + 1/2 × (120 + 60) × 140 + 1/2 × 60 × 60 + 1/2 × 100 × 150 + 1/2 × 60 × 60
= 7200 + 16500 + 12600 + 1800 + 7500 + 1800
= 47,400m²
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 11
NCERT Exemplar Class 8 Maths Chapter 11 Problem 77
Find the area of the following fields in figure 2. All dimensions are in metres.
Summary:
The area of the field 30,100 m²
☛ Related Questions: