Question
The figures below are similar. If the ratio of the perimeters is 7:10, find the value of x.
- 6.4
- 5.6
- 8.4
- 1.4
Hint:
ratio of perimeter = ratio of sides.
The correct answer is: 8.4
8.4
Since the given figures are similar, then the ratio of the sides will be same and the angles will be exactly equal in both the polygons.
Ratio of perimeter = 7: 10 . if we rotate the diagram to the right by an angle of 90 degrees in thr anticlockwise diagram, we’ll get a better idea of the problem.
As per the question, 7:10 = x: 12
x = 7 x 12/ 10
x = 8.4
similarity of 2 polygons involves the correlation of the sides and angles of the polygons. the ratio of the sides needs to be consistent and the angles need to be exactly equal in both the polygons as well as the relative position of the sides and angles should be exactly same.
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