A path 3.5 m wide runs inside along the boundary of a square field whose side is 65 m. Find the area of the path. Also find the cost of manuring the rest of the field at the rate of ₹25 per square metre
Answers
Answer:
959 sq. m is the area of the path
Cost written in explanation
Step-by-step explanation:
Side of square field = 65 m
Width of path = 3.5 m
Area of the field= Side*Side
= 65*65
= 4225 sq. m
Area of the field including path = Side * Side
= (65+3.5+3.5) * (65 + 3.5+ 3.5)
= 65 + 7 * 65+7
= 72*72
= 5184 sq. m
Area of path= 5184 - 4225
= 959 sq. cm
Cost for manuring the rest of the field (excluding path) = area * rate
= 4225*25
= ₹ 105625
Cost for manuring the rest of the field (including path) = 5184 * 25
= ₹ 129600
Cost for manuring the path only = 959 * 25
= ₹ 23975