if the perimeter of a square is 20 cm.
find the area and length of diagonal
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Here is the solution:
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Perimeter of a square = 20 cm
Find the length:
Perimeter = 4 x Length
20 = 4 x Length
Length = 20 ÷ 4 = 5 cm
Find the length of the diagonals:
a² + b² = c²
c² = 5² + 5²
c² = 50
c = √50
c = 5√2 cm
Find the area:
Area = Length x Length
Area = 5 x 5 = 25 cm²
Answer: Length = 2√50 and the area = 25 cm²
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ALTERNATIVE METHOD TO FIND THE LENGTH OF THE DIAGONAL OF A SQUARE:
Length of the diagonal of a square = side√2
we found the length of the square is 5 cm,
therefore the length of the diagonal is 5√2
Answer: The length of the diagonal is 5√2
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