Question

A path 3 m wide runs along inside a rectangular field. The length of the rectangular field is three times the breadth of the field. If the area of the path is 500 m' then find the length and breadth of the field.​

Answer 1

Answer:

HERE IS YOUR ANSWER

Step-by-step explanation:

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 =  600 40 60040 B = 15m Length of the field = 45 m;  Breadth of the field = 15 e-along-inside-rectangular-field-length-rectangular-field-three-times-breadth-field