The cost of enclosing a rectangular garden with a fence all the rate of 65 paise per meter is ₹260 if the length of the garden is 130 meters find the area of the garden
Answers
Given data :
- The cost of enclosing a rectangular garden with a fence all the rate of 65 paise per meter is ₹ 260.
- The length of the garden is 130 meters.
To find : The area of the garden ?
Solution :
→ Total cost of fencing = ₹ 250
→ Rate of fencing per metre = 65 Paise
Here we know, ₹ 1 = 100 Paise. Hence,
→ 65 Paise = ₹ {65/100}
→ 65 Paise = ₹ 0.65
Hence, we know that rate of fencing the rectangular gardan is ₹ 0.65 per meter.
Now, to find perimeter of rectangular gardan,
→ Perimeter of rectangular gardan
= 260/0.65
→ Perimeter of rectangular gardan
= 400 metre
Now, according to given length of the rectangular gardan is 130 metre.
We know that opposite side of rectangle are equal hence,
→ Twice length of gardan = 130 * 2
→ Twice length of gardan = 260 metre
Now, to find breadth of rectangular gardan,
→ Breadth of gardan = {400 - 260}/2
→ Breadth of gardan = 140/2
→ Breadth of gardan = 70 metre
Now,
→ Area of the rectangular gardan
= Length * Breadth
→ Area of the rectangular gardan
= 130 * 70
→ Area of the rectangular gardan
= 9100 m²
Answer : Hence, the area of the rectangular gardan is 9100 m².
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