Question

a path 5m wide runs along the inside of the rectangular field. the length of the rectangular field is three times the breadth of the field.if the area of the path is 500m square then find the length and breadth of the field​

Answer 1

Answer:

Let the length of the rectangular field = ‘L’ m Breadth of the rectangular field = ‘B’ m Area of the rectangular field = (L x B) m2 Also given length = 3 x Breadth L = 3B Width of the path (W) = 5m Length of the inner rectangle = L – 2W  = l – 2(5) = 3B – 10m Breadth of the inner rectangle = B – 2W = B – 2(5) = B – 10 m Area of the inner rectangle = (3B – 10) (B – 10) = 3B2 – 10B – 30B + 100 Area of the path = Area of outer rectangle – Area of inner rectangle = (L x B) – (3B2 – 10B – 30B + 100) 3B x B – (3B2 – 40B + 100) = 3B2 – 3B2 + 40B – 100 Area of the path = 40B – 100 Given area of the path = 500 m2 40B – 100 = 50 40B = 500 + 100 = 600 B = [Math Processing Error]60040 B = 15m Length of the field = 45 m; Read more on Sarthaks.com - https://www.sarthaks.com/995653/wide-along-inside-rectangular-field-length-rectangular-field-three-times-breadth-field?show=995664#a995664

Step-by-step explanation:

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