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Ratio between the sides of two squares is 2: 5: find the ratio between their perimeter and area
GIven: Ratio between the sides of two squares is 2: 5
To find: Ratio between their perimeter and area
Solution:
Let the side of the first square = 2a
And, side of the second square = 5a
Perimeter = 4$ \times $ side
So Perimeter 1 = 4$ \times $2a = 8a
Perimeter 2 = 4$ \times $5a = 20a
Ratio of perimeter = 8a $\div$ 20a
= 2:5
Area of square = a$ \times $a
Area 1 = (2a)$ \times $(2a) = 4a2
Area 2 = (5a)$ \times $(5a) = 25a2
Ratio of area = 4a2 $\div$ 25a2
= 4:25
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