the perimeters of two squares are 428 cm and 396 cm find the area of a square whose area is equal to the sum of area of two squares
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Answer:
= 21,250cm²
Explanation:
Let two squares are S1 and S2
Perimeter of S1 = 428 cm
Perimeter of S1 = 4 × S1
4× S1 = 428 cm
S1 = 428/4
S1 = 107 cm
Area of S1 = S1² or S1 × S1
Area of S1 = 107 × 107 = 11,449 cm²
Perimeter of S2 = 396 cm
Perimeter of S2 = 4 × S2
4 × S2 = 396
S2 = 396/4
S2 = 99 cm
Area of S2 = S2 × S2
Area of S2 = 99 × 99 = 9,801 cm²
The area of a square whose area is equal to the sum of area of two squares is :
Area of new square = Area of S1 + Area of S2
Area of new square = 11,449 + 9,801 = 21,250 cm²
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the perimeters of two squares are 428 cm and 396 cm find the area of a square whose area is equal to the sum of area of two squares
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