A rectangular grassy plot 110 m by 65 m has a gravel path 2.5 m wide all round it on the inside. Find the
cost of gravelling the path at 80 paise per sq. metre.
Answers
Answer:
The cost of gravelling the path is Rs. 680
Explanation:
★ The area of plot =
⇒ 110 m × 60 m
⇒ 7150 m²
The area of plot = 7150 m²
The gravel path = 2.5 m
⇒ 2.5 × 2
⇒ 5
Area of the plot excluding the path
Substract 5 in dimensions of rectangle
⇒ 110 - 5
⇒ 105
⇒ 65 - 5
⇒ 60
★ Area of the plot excluding the path :
⇒ 105 × 60
⇒ 6300 m²
★ Area of path :
⇒ 7150 - 6300
⇒ 850 m²
★ The cost of gravelling path :
Area of path × rate
⇒ 850 × 0.80
⇒ Rs. 680
Therefore,
The cost of gravelling the path is Rs. 680
Explanation:
The area of plot = Area of rectangle
Area of rectangle = length × breadth
Substitute the values,
→ 110 × 65
→ 7150 m²
Hence, the area of plot is 7150 m².
The gravel path = 5 m (2.5+2.5)
New length of rectangle = 110 - 5
= 105 m
New breadth of rectangle = 65 - 5
= 60 m
New area of the rectangular path = 105 × 60
= 6300 m²
Difference = Area of rectangle - New area of rectangle
= 7150 - 6300
= 850 m²
The cost of gravelling the path at 80 paise per sq. metre.
= 850 × 80/100
= Rs. 680
Hence, the cost of gravelling the path is Rs. 680.