The perimeter of two squares are 2 m and 2.8 m. Find the perimeter of a square whose area is equal to the sum of the areas of these two squares.
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Answer:
108.8 cm / 1.8 m
Step-by-step explanation:
Sides of two squares = (I) 2 m = 200 cm = 200÷4 = 50 cm
(II) 2.8 m = 280 cm = 280÷4 = 70 cm
Area of these two squares=(I)50 cm =50 x 50 cm² = 250 cm²
(II) 70 cm = 70 x 70 cm² = 490 cm²
Area of the other square = 250 + 490 = 740 cm²
Side of the other square = √740 = 27.2
Perimeter of the other square = 4 x 27.2 = 108.8 cm / 1.8 m
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