A rectangular garden is of length 145 m
and breadth 115 m. What is the
cost of fencing the garden at 20
per metre?
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Answer:
Let the length of the rectangular garden be '4x'.
Then, breadth = 3x
• Now, we know that area of a rectangle = Length × breadth
• So, area of the rectangular garden
= 4x × 3x
= 12x²
• But, given area of the garden = 1200 m²
=> 12x² = 1200
=> x² = 1200/12
=> x² = 100
=> x = √100
=> x = √10 × 10
=> x = 10
• Hence, the length of the rectangular garden
= 4x
= 4 × 10
= 40 m
• And, the breadth of the rectangular garden
= 3x
= 3 × 10
= 30 m
• Now, perimeter of the rectangular garden
= 2 (length + breadth)
= 2 (40 + 30)
= 2 × 70
= 140 m
• Now, cost of fencing 1 m = 7.50 Rs.
So, cost of fencing 140 m
= 140 × 7.5
= 1050 Rs.
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