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The pieces of Tangrams have been rearranged to make the given shape.

By observing the given shape, answer the following questions:
What percentage of total has been coloured? (i) Red (R) = ___ (ii) Blue (B) = (iii) Green (G) = _
Check that the sum of all the percentages calculated above should be 100.
If we rearrange the same pieces to form some other shape, will the percentage of colours change

Solution:

The figure represents the colours of the pieces of Tangrams rearranged to make the given shape.

Red colour = 3(1/8) = 3/8

Green colour = 2(1/16) = 1/8

Blue colour = 2(1/4) = 1/2

Total colour = 3/8 + 1/8 + 1/2

= (3 + 1 + 4)/8

= 8/8

= 1

(i) Percentage of red colour = (3/8)/1 × 100

= 300/8

= 37.5%

(ii) Percentage of blue colour = (1/2) × 100

= 100/2

= 50%

(iii) Percentage of green colour = (1/8) × 100

= 100/8

= 12.5%

Percentage of all colours = percentage of red colour + percentage of green colour + percentage of blue colour

= 37.5 + 12.5 + 50

= 100%

Therefore, the total percentage of all colours is 100%

On rearranging the pieces to form another shape, only the parts or pieces will get changed but the colours will remain unchanged.

Therefore, the percentage of colours will not change.

✦ Try This: A multistory building has 25 floors above the ground level each of height 5m. It also has 3 floors in the basement each of height 5m. A lift in building moves at a rate of 1m/s.

If a man starts from 50m above the ground, how long will it take him to reach at 2nd floor of the basement?

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 8

NCERT Exemplar Class 7 Maths Chapter 7 Problem 140

The pieces of Tangrams have been rearranged to make the given shape. By observing the given shape, answer the following questions: What percentage of total has been coloured? (i) Red (R) = ___ (ii) Blue (B) = (iii) Green (G) = _, Check that the sum of all the percentages calculated above should be 100, If we rearrange the same pieces to form some other shape, will the percentage of colours change

Summary:

The percentage of total has been coloured (i) Red colour = 37.5%, (ii) Blue colour = 50%, (iii) Green colour = 12.5%, The sum of all the percentages calculated is equal to 100%, If we rearrange the same pieces to form some other shape, the percentage of colours will remain unchanged.

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