the area of square field is 64 square a part of uniform with is lead around and outside of a it is the area of path is 17 square then the weight of the path is
Answers
GIVEN :
- Area of square field = 64
- Area of uniform path around square field = 17
To find :
Width of path
Formula used :
Area of square = (side)²
Solution :
As shown in figure, the inner square with side x represent square field, and y represent width of path around Square field.
Area of square field = x²
➝ 64 = x²
➝ x = √64
➝ x = 8 { as side cannot be negetive}
_______________________________________________
Now area of outer square = Area of square field + Area of path
➝ Area of outer square = 64 + 17 = 81
_______________________________________________
Side of outer square = side of square field + (2×width of path)
➝Side of outer square = x + 2y
_______________________________________________
Area of outer square = (x+2y)²
➝ 81 = (x+2y)²
➝ x+2y = √81
➝ x + 2y = 9 { as side can't be negative}
➝ 8 + 2y = 9
➝ 2y = 9-8
➝ 2y = 1
➝ y = 1÷2
➝ y = 0.5
_______________________________________________
ANSWER :
Width of path = 0.5 unit
