Math, asked by unicrongirl, 4 months ago

Take 36 square cards each of unit length. In how many ways can you put them together to form a rectangle? One is done for you. Which arrangement will make a rectangle of greatest perimeter and which arrangement will make a rectangle of least perimeter?

Answers

Answered by amitnrw
1

Given :  36 square cards each of unit length.  

To Find :  In how many ways can you put them together to form a rectangle

Solution:

36 square cards hence area of a rectangle = 36 sq cm

possible solutions are

1× 36 , 2 ×18 , 3×12 , 4×9, 6×6

calculate perimeters in each case

6 × 6 = 2(6 + 6)  = 24 cm  

 4 × 9 = 2 ×(4+9) = 26 cm

 3 × 12 = 2 ×(3+12) = 30 cm

 2 × 18 = 2 × (2 + 18) = 40 cm

 1 × 36 = 2 × (1+36) = 74 cm

greatest perimeter = 74 cm

minimum perimeter = 24 cm  ( square make least perimeter)

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