A garden is in the form of a rectangle of length 12 m and perimeter 55m. Find the cost of manuring the garden at the rate of 5.72 per m2
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Answer:
Perimeter of the garden = 55m
Length = 12m
Breadth = ?
b = 2(l+b)=55
=2(12+b)=55
=24+2b=55
=2b=55-24
=2b=31
=b=31/2
=b=15.5m
Answer:
- 1063.92 is the required cost of manuring the garden.
Step-by-step explanation:
According to the Question
It is given that ,
- Perimeter of garden = 55m
- Length of garden ,L = 12m
we have to calculate the cost of manuring the garden at the rate of 5.72 per m² .
Firstly we calculate the width of garden .
Since the garden is in Rectangular .
So,
- Perimeter = 2 (Length + Width)
⇢ 55 = 2 ( 12 + Width )
⇢ 55/2 = 12 + Width
⇢ 27.5 = 12 + Width
⇢ Width = 27.5 - 12
⇢ Width = 15.5 m
So, the width of garden is 15.5 m
Now, calculating the area of Rectangular Garden .
- Area of Garden = Length × Width
⇢ Area of Garden = 15.5 × 12
⇢ Area of Garden = 186m²
Cost of manuring the garden is 5.72 per m²
- Total Cost = Area of Garden × Cost of Manuring
substituting the value we get
⇢ Total Cost of Manuring = 186 × 5.72
⇢ Total Cost of Manuring = 1063.92
- Hence, the total cost of manuring the garden is 1063 .92