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.
A 18cm
B 24cm
C 26.46cm
D 36cm
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
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