top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

Two polygons are similar with side lengths in the ratio of 1:11. What is the ratio of their areas?

0 votes
239 views
Two polygons are similar with side lengths in the ratio of 1:11. What is the ratio of their areas?
posted May 11, 2016 by Rajni

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

2 Answers

0 votes

1:121

For all polygons the area is proportional to the multiplication of base and hight. Which again i proportion to the side length. So ratio of their areas should be 1:11^2 i.e. 1:121

answer May 12, 2016 by Salil Agrawal
0 votes

Let us consider an square of side 1 and another of side 11,
the ratio of two areas equals : 1*1 / 11*11 = 1/ 121
The ratio is 1 / 121

answer May 16, 2016 by anonymous



Similar Puzzles
0 votes

The sum of the areas of two similar polygons is 65 square units. If their perimeters are 12 units and 18 units, respectively, what is the area of the larger polygon?

0 votes

Two triangles have integral side lengths, with all sides being less than 50. They are similar but not congruent and smaller triangle has two side lengths identical with the larger triangle.

What is the sum of the side lengths of the larger triangle?

0 votes

In a square with a side length of 1, two quarter circles are drawn and a circle is inscribed between the quarter circles, as shown in the diagram.
What is the radius of the inscribed circle?

enter image description here

+1 vote

If lengths of sides AB, BC and AC of a right angle triangle are in a geometric progression, what is the ratio between AC and AB?

Right Angle Triangle

...