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Question

ABC is an isosceles triangle having right angle at B, and is made up of several isosceles triangles

Q18. How many rectangles of different dimensions are present in the figure?


A

(a) 3

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B

(b) 4

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C

(c) 5

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D

(d) 6

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Solution

The correct option is B

(b) 4


Let us take the bottom layer of squares to look for rectangles of different dimensions

By taking two, three, and four squares at a time we would get three rectangles of different sizes. For the next upper layers what we get would be repetition of rectangles of same dimensions. Similarly, if we take squares vertically one column at a time, we would not get any additional rectangles.

Now taking bottom two layers of squares we would get only one rectangle of a different size.

In vertical direction we would get identical dimensions.

Hence total number of rectangles of different dimensions is 4 only.


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