The total cost of cultivating a rectangular field at Rs.15 per mºis 18330. If the breadth
of the field is 26 m, find the cost of fencing the field at Rs.20 per metre.
Answers
AnswEr :
- Total Cost of Cultivating Rectangular Field is Rs.18330 @ Rs.15 per m²
- Breadth of Field is 26 m.
- Find the cost of Fencing of the field at the Rate of Rs. 20 per metre.
⋆ Reference of Image is in the attachment :
• Let's Head to the Question Now :
⇒ Cost of Cultivation = Rate × Area
⇒ 18330 = 15 × Area
- Dividing Both term by 15
⇒ Area = 1222 m²
And, we know that area of rectangle is product of length and breadth i.e. ( lb )
⇒ Area of Field = Length × Breadth
⇒ 1222 m² = Length × 26 m
- Dividing Both term by 26
⇒ Breadth = 47 m
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• Perimeter and Fencing Cost will be :
⇒ Cost of Fencing = Perimeter × Rate
⇒ Cost of Fencing = 2( l + b ) × Rate
⇒ Cost of Fencing = 2( 26 + 47 ) × 20
⇒ Cost of Fencing = 2 × 73 × 20
⇒ Cost of Fencing = Rs. (40 × 73)
⇒ Cost of Fencing = Rs. 2920
∴ Cost of Fencing of Field is Rs. 2920
→ The total cost of cultivating a rectangular field at Rs.15 per mº = 18330.
→ Breadth = 26m.
→ Cost of cultivation of rectangular field = rate × area
→ let's find it !!
→ 18330 = 15 × area
→ 18330/15 = area
→ area = 1222 m²
now , area of rectangular field = l × b
→ 1222 = 26 × l.
→ l = 1222/26
→ l = 47 m
now , fenching of field
= rate × perimeter
→ 20 × 2( l + b )
→ 20 × 146
→ ₹ 2920