Answer:
Let the side of the square be Z cm
Hence, area = Z^2 cm^2 and perimeter = 4 Z cm
Therefore, Z^2 = 4Z OR Z = 4
Area is NUMERICALLY equal to the Perimeter
Answer: One side of the square = 4 cm
(Check: Area = 4^2 = 16 cm^2 and Perimeter = 4 + 4 + 4 + 4 = 16 cm)
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Let the side of of the square be x
Express the area of the square in term of x:
Area of a square = Length x Length
Area of a square = Length²
Area of a square = x²
Express the perimeter of the square in term of x:
Perimeter = 4 x Length
Perimeter = 4x
Solve x:
Given that the area = perimeter
x² = 4x
x² - 4x =0
x(x - 4) = 0
x = 0 or x - 4 = 0 [ reject x = 0 since length cannot be 0 ]
x - 4 = 0
x = 4
Answer: The length of the side is 4 cm
Hope you liked it, Mark as Brainliest Have a great day and stay safe,happy :)
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Answers & Comments
Answer:
Let the side of the square be Z cm
Hence, area = Z^2 cm^2 and perimeter = 4 Z cm
Therefore, Z^2 = 4Z OR Z = 4
Area is NUMERICALLY equal to the Perimeter
Answer: One side of the square = 4 cm
(Check: Area = 4^2 = 16 cm^2 and Perimeter = 4 + 4 + 4 + 4 = 16 cm)
I HOPE THIS HELPS YOU
PLEASE MARK ME AS BRAINLIEST
Verified answer
Answer:
Let the side of of the square be x
Express the area of the square in term of x:
Area of a square = Length x Length
Area of a square = Length²
Area of a square = x²
Express the perimeter of the square in term of x:
Perimeter = 4 x Length
Perimeter = 4x
Solve x:
Given that the area = perimeter
x² = 4x
x² - 4x =0
x(x - 4) = 0
x = 0 or x - 4 = 0 [ reject x = 0 since length cannot be 0 ]
x - 4 = 0
x = 4
Answer: The length of the side is 4 cm
Hope you liked it, Mark as Brainliest
Have a great day and stay safe,happy :)