The perimeter of a square is 12 cm and that of the another square is 16 cm find the perimeter of a square which is equal in area to those combined two squares
Answers
Given : The perimeter of a square is 12 cm
Perimeter of the another square is 16 cm
To find : the perimeter of a square which is equal in area to those combined two squares
Solution:
Square of Side a unit
Perimeter = 4a
Area = a²
The perimeter of a square is 12 cm
=> 4a = 12
=> a = 3 cm
=> area = 3² = 9 cm²
The perimeter of a square is 16 cm
=> 4a = 16
=> a = 4 cm
=> area = 4² = 16 cm²
Total Combined Area = 9 + 16
=> Total Combined Area = 25 cm²
a² = 25
=> a = 5 cm
Perimeter = 4a =4(5) = 20 cm
perimeter of a square which is equal in area to those combined two squares = 20 cm
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