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The area of rectangular ground is 1805 sq. m and its length is 5 times its breadth. There is a 3 m wide racing track inside the ground all around. The cost of construction of track is Rs. 40 per sq. metre. Find the total cost of construction of whole track.1). 360002). 129003). 259204). 94900 |
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Answer» Let the BREADTH be x then length be 5x ⇒ AREA = 1805 ⇒ x × 5x = 1805 ⇒ 5x2 = 1805 ⇒ x2 = 1805/5 = 361 Length cannot be negative ⇒ x = 19 ⇒ Length = 5x = 5 × 19 = 95 m ⇒ Breadth = x = 19 m ⇒ Length will remain same for racing track ⇒ Area of racing track = 1805 - [(95 - 6) × (19 - 6)] sq metre ⇒ Area of racing track = 648 sq metre ∴ Cost of construction = 648 × 40 = Rs. 25,920 |
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