A long narrow track of land between two parallel straight road fonts 220 meters on one road and 170 meters on the other. Two end boundaries are straight fences, one of which is 18 meters long and makes an angle of 60 degrees with the road on the longest font. What is the area of the track land?
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Answer:
1836 Sqmeter
Step-by-step explanation:
Area of Road = 1,836 Square Meters Step-by-step explanation:
Length of Rectangular Lawn = 180 Meters Width of Rectangular Lawn = 120 Meters =
Area of Rectangle = Length x Width
Therefore Area of rectangular lawn = 180 x 120 = 21,600 Square Meters
Width of Road = 6 Meter
Length of Lawn and Road together - 180 + 6 = 186 Meters
Width of Lawn and Road together = 120 + 6 = 126 Meters
Therefore Area of Lawn and Road together = 186 x 126
= 23,436 Square Meters =
Therefore Area of the Road = Area of Lawn and Road together - Area of rectangular lawn
= 23,436 - 21,600 Square Meters
= 1,836 Square Meters
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