A man wants to protect a rectangular lawn in front of his house. The area of the lawn is 135 m² and he
has only 33 m barbed wire. He fences three sides of the lawn with barbed wire and the fourth side ir
protected by the compound wall of his house. If the barbed wire is just sufficient for fencing of the
three sides, find the dimensions of the lawn.
Answers
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accor. to Formula :
135m² ÷ 33m
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Let assume
- Length of lawm = L
- Breadth of Lawn = B
GIVEN
- Area of lawn = 135 m²
- 33 m barbed wire cover 3 side of house
A T Q , the equation formed are
- L × B = 135 m²
- L + 2B = 33 m
SOLUTION
- L + 2B = 33
- L = 33 - 2B
- L × B = 135
- (33 - 2B)B = 135
- 2B² - 33B + 135 = 0
Solving above, we get,
- (B − 9) (2B − 15)
- B = 9 or 7.5
- L = 15 or 18
ANSWER
- Length of lawm = 15 m or 18 m
- Breadth of Lawn = 9 m or 7.5 m
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