The cost of fencing a triangular plot with sides in the ratio 5:12:13 is 40 per metre. If the total cost incurred is 6000, then area of the plot is
O 600 m2
O 750 m2
O 900 m2
O 1200 m2
Answers
Answer:
750 m²
Step-by-step explanation:
Rationalize the denominator
5√2 upon 7-√2
Given : the cost of fencing a triangular plot with sides in the ratio 5:12:13 is rupees 40 per meter the cost incurred is 6000
To Find : the total area
Solution:
Side 5x , 12x and 13x
Perimeter = 5x + 12x + 13x = 30x
Cost = 30x * 40 = 1200x
1200x = 6000
=> x = 5
5x , 12x and 13x
(13x)² = (5x)² + (12x)²
Hence using converse of Pythagorean theorem
this is a right angle triangle with base and height 5x and 12
Area = (1/2) 5x * 12x = 30x²
= 30(5)²
= 750 m²
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