The area of a rectangular field is 3400 m2 and it’s length is 68m.Find : i) breadthii) the distance covered by a man in going 5 times aroundthe field.
Question
The area of a rectangular field is 3400 m² and its length is 68 m. Find:
i) Breadth
ii) The distance covered by a man in going 5 times around the field.
Solution
i) To find the breadth of the rectangular field, we use the formula for the area of a rectangle which is length x breadth. We know the area is 3400 m2 and the length is 68 m. So, we can set up the equation:
3400 = 68 x breadth
To solve for breadth, we divide both sides of the equation by 68:
breadth = 3400 / 68 = 50 m
So, the breadth of the field is 50 m.
ii) The distance covered by a man going 5 times around the field is the perimeter of the field multiplied by 5. The formula for the perimeter of a rectangle is 2(length + breadth). We know the length is 68 m and the breadth is 50 m, so we can calculate:
Perimeter = 2(68 + 50) = 236 m
So, the distance covered by the man is 236 m x 5 = 1180 m.
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