A wire of length 100 cm is cut into two parts and each parts is bent to form a square. If the numerical value of area and perimeter of a square is same, find the area of the other square.
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A wire of length 100cm is cut into two parts and each part is bent to form a square .
Let edge length of a formed square is L
then, perimeter of square = 4L
and area of square = L²
A/C to question,
perimeter of square = area of square
4L = L²
L = 4cm
so, length of first part of wire = 4L = 16cm
then, length of 2nd part of wire = 100cm - 16cm = 84cm
so, perimeter of square = 4S = 84cm
S = 21 cm
so, area of square = (21)² = 441cm²
Let edge length of a formed square is L
then, perimeter of square = 4L
and area of square = L²
A/C to question,
perimeter of square = area of square
4L = L²
L = 4cm
so, length of first part of wire = 4L = 16cm
then, length of 2nd part of wire = 100cm - 16cm = 84cm
so, perimeter of square = 4S = 84cm
S = 21 cm
so, area of square = (21)² = 441cm²
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