The perimeter of a rectangular plot is 70 m. If the breadth of the plot is 15m, find its length.
Also find the area of the plot.
Answers
Let x = the breadth of the rectangular field
70 m = 2x + 2(x+15) = 4x + 30
4x = 40
x = 10 m (breadth)
x+15 = 25 m (length)
Depending on the orientation of the path surrounding the rectangular field, the concrete path’s area will vary.
Area of the concrete path = Area of the entire lot- Area of the rectangular field
Area of the entire lot = (5+25+5) * (2.5+10 +2.5) = 525 sq m
Area of the rectangular field = (25) * (10) = 250 sq m
Area of the concrete path = 525 - 250 = 275 sq m
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Step-by-step explanation:
perimeter perimeter of rectangle = 2(l+b) = 70m
l =?
b = 15
2(l+b) = 2(l + 15)= 70
l+15 = 70/2
l+15 = 35
l = 35-15
l= 20
area of rectangle= l*b = 20*15= 300m
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