The perimeter of two squares 12 cm, 16 cm. Find the perimeter of a new square whose area
is equal to the sum of the areas of first two squares ?
(1) 5 cm (2) 16 cm (3) 20 cm (4) 50 cm
Answers
The perimeter of the new square = 20cm (Option 3)
Given :
The perimeter of the 1st square = 12cm
The perimeter of the 2nd square = 16cm
To find :
The perimeter of the new square
Solution :
1st square
The perimeter of the 1st square = 12cm
Length of each side of this square = 12cm /4 = 3cm
Area of 1st square = side² = (3cm)² = 9cm²
2nd square
The perimeter of the 2nd square = 16cm
Length of each side of this square = 16cm /4 = 4cm
Area of the 2nd square = side² = (4cm)² = 16cm²
New square
The area of the new square = Area of 1st square + Area of 2nd square
= 9cm² + 16cm² = 25cm²
The length of each side of the new square = √Area = √(25cm²)
= 5cm
Perimeter of the new square = 4 x side = 4 x 5cm = 20cm
Therefore, the perimeter of the new square = 20cm
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