A wire is cut into several pieces.Each of the small pieces is bent into a square of side 2cm .If the total area of small square is 28sq.cm,then the original length of wire (in cm)is what
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each square's area = 4cm sq.
no. of sqare = 28/4
= 7
perimeter of each square = 8cm
total wire = 7×8
= 56cm
Answer:
Total length of the wire = 56 cm
Step-by-step explanation:
Let number of pieces = x
Side of each square shaped piece = 2 cm
⇒ Area of each piece = side²
⇒ Area = 2²
⇒ Area = 4 cm²
Total area is given to be = 28 cm²
Since number of pieces are let to be x
⇒ 4x = 28
⇒ x = 7
Number of pieces = 7
Now, perimeter of each piece with side 2 cm = 4 × 2 = 8 cm
Therefore, Total length of the wire = 7 × 8 = 56 cm