The area of a triangular field whose sides are 65 m, 72 m, and 97 m is equal to the area of a rectangular park whose sides are in the ratio of 5 : 13. What is the perimeter (in m) of the rectangular park?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 216.
Sides of the triangle = 65 m, 72 m, and 97
the given triangle is the right angle triangle becaus
972 = 722 + 652
9409 = 5184 + 4225
9409 = 9409
The area of the triangle = 1/2 × 65 × 72 = 2340
The ratio of the sides of the park = 5x : 13x
According to the question,
5x × 13x = 2340
x = 6
So, the perimeter of the park = 2 × (5x + 13x) = 36x = 216 m