Practicing Success
AB = 80 m, BC = 60 m DF = 50 m, GE = 50 m HE = 100m |
Area of whole figure is: |
7000 m2 7200 m2 7400 m2 7500 m2 |
7400 m2 |
In Δ ABC, AC2 = AB2 + BC2 = 802 + 602 = 6400 + 3600 = 10000 AC = 100 m and Area of Δ ABC = \(\frac{1}{2}\) × AB × BC = \(\frac{1}{2}\) × 80 × 60 = 2400 m2 In Δ ACE, AC = 100 m, EH = 100 m Therefore, Area of Δ ACE = \(\frac{1}{2}\) × AC × EH = \(\frac{1}{2}\) × 100 × 100 = 5000 m2 Hence, Area of whole figure = Area of Δ ABC + Area of Δ ACE = 2400 + 5000 = 7400 m2 |