Question

how many different rectangles can you make with a 24 cm long string with integral sides and what are the sides of those rectangle s in cm?

Answer 1

With a 24 cm string you need to have 2 lengths and 2 widths covered.

2(l+w)=24.

So l+w=12.

The set of length and widths that satisfy this are (11,1),(10,2),(9,3),(8,4),(7,5),(6,6).

The last one will turn out to be a square a specific case of rectangle.

Hope it helps.



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Answer 2

Six rectangles can be formed (1 , 11)  , (2 , 10) , (3 , 9)  , (4 , 8)  , (5 , 7)  , (6 , 6) with 24 cm long string

Step-by-step explanation:

how many different rectangles can you make with a 24 cm long string with integral sides

Let say sides are a  & b

then 2(a + b) = 24 cm

=> a + b = 12cm

a      b

1       11

2      10

3      9

4      8

5      7

6      6

Six rectangles can be formed

(1 , 11)  , (2 , 10) , (3 , 9)  , (4 , 8)  , (5 , 7)  , (6 , 6)

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