The government plans to develop a new industrial zone in an unused portion of land in a city. The shaded portion of the map shown on the right, indicates the area of the new industrial zone. Find the area of the new industrial zone.
To find the Area of ΔEBD.
EF = 1.4 Km
In ΔEBD and ΔEAC
∠EBD = ∠EAC by alternate angles (BD∥CA)
∠EDB = ∠ECA by alternate angles (BD∥CA)
∴ ΔEBD ∼ ΔEAC
(∵ BD = 3, AC = 1)
Similarly,
ΔEBG ∼ ΔEAF
---(1)
(by (1))
⇒ Area of ΔEBD = 6.3
10