The side of a triangular park in the ratio 12 : 17 : 25 and its perimeter is 1080 m. Find the area (in hectares) of the park.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 3.6
| Application |
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Suppose the sides are 12x, 15x and 25x According to question: Perimeter of the triangular park = 1080 12x + 17x + 25x = 1080 ⇒ 54x = 1080 ⇒ x = 20 |
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So, Sides = 240, 340 and 500 So, Half perimeter = S = 540 Area of the triangle = √[S(S - a)(S - b) (S - c)] = √[540(540 - 240) (540 - 340) (540 - 500)] = √[540(300) (200) (40)] = 36000 |
| In hectares = 3.6 |