The area of a triangular plot having sides 12 m, 35 m and 37 m is equal to the area of a rectangular field whose sides are in the ratio 7 : 3. The perimeter (in m) of the field is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 20
As we can see that, 12 - 35 - 37 is a Pythagorean triplet then one can say that it is a right-angle triangle.
Area of the triangle = 1/2 × 12 × 35 = 210 cm2
Area of the rectangular field = L × B
7x × 3x = 210
21x2 = 210
x = cm.
Perimeter of the rectangular field = 2(l + b)
= 2(10x)
= 20x
= 20 × = 20 cm.