The perimeters of two squares are 40cm and 30cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares.
Solution
Correct Answer: Option C
The perimeters of two squares are 40cm and 30cm.
The sides of two squares are 40/4 cm = 10 cm and 30/4 = 7.5 cm.
area of third square = 102 - (7.5)2
= 100 - 56.25
= 43.75
side of third square = √43.75
= 6.614
∴ perimeter of square = 4 × 6.614
= 26.46 cm
The sides of two squares are 40/4 cm = 10 cm and 30/4 = 7.5 cm.
area of third square = 102 - (7.5)2
= 100 - 56.25
= 43.75
side of third square = √43.75
= 6.614
∴ perimeter of square = 4 × 6.614
= 26.46 cm
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