area of the path around a square field is 425m.find the width of the path if the side of the square is 40 m
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Answer:
area of the path around a square field is 425m.find the width of the path if the side of the square is 40 m
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_shraddha.2187
Answer:
Width of the = 2.5 m
Step-by-step explanation:
Given: Area of path = 425 m²
side of square field = 40 m
∴ Area of square field = side²
∴ = 40²
∴ Area of square field = 1600 m²
Area of path = area of outer square - area of inner square
425 = Area of outer square - 1600
∴ 425 + 1600 = Area of outer square
∴ Area of outer square = 2025
We know that,
Area of square = side²
∴ Area of outer square = side²
∴ 2025 = side²
∴ √2025 = side ___________(taking square root on both sides)
∴ Side of a outer square = 45
Assuming path is equidistant from all the sides of a square field,
thus, 2(width of path) = side of a outer square - side of a square field
∴ 2 (width of path) = 45 - 40
∴ 2 (width of path) = 5
∴ width of path = 5/2
∴ width of path = 2.5 m
