Mathematics
Grade-4-
Easy

Question

Smith creates a pattern with rectangles.

If the pattern continues, the number of rectangles required to make the 4th shape is ___.

  1. 15    
  2. 19    
  3. 20    
  4. 25    

Hint:

We are given a sequence made using different number of rectangles by Smith. There are three shapes with increasing number rectangles. We have to find the rule used to write the sequence. Using this information, we have to find the number of rectangles fourth shape will have.

The correct answer is: 15


    The number of shape and number of triangles used to make the shape are as follows:
    First shape has 3 rectangles.
    Second shape has (3 + 4) = 7
    Third shape has (7 + 4) = 11
    If we see, the number of rectangles is increasing by 4. Smith started with 3 rectangles and with increasing number of shape, increased the number by 4.
    So, fourth shape will have (11 + 4) = 15 rectangles.
    The fourth shape will have 15 rectangles.

    While solving questions, we should be careful about the sequence of the shapes.

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