Question
Download Solution PDFIf the width of the path around a square field is 4.5 m and the area of the path is 252 m2, then the length of the side of the field is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Width of the path around a square field = 4.5 m
Area of the path = 252 m2
Formula used:
Area of square = a2
Where, a = side of the square
Calculation:
Let the side of the square field be a
The side of the square field with path = (a + 4.5 + 4.5) = a + 9
Area of square field = a2 ....(1)
Area of the square field with path = (a + 9)2 ....(2)
Now,
Area of path = Area of the square field with path – Area of square field
⇒ 252 = (a + 9)2 – a2
⇒ 252 = a2 + 81 + 18a – a2
⇒ 252 = 81 + 18a
⇒ 18a = 252 – 81
⇒ 18a = 171
⇒ a = 9.5 m
∴ The length of the side of the field is 9.5 m
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