Question

The ratio between the sides of two squares is 1:2. Find the ratio between their areas. The options are
a.2:3
b.1:3
c.2:4
d.1:4​

Answer 1

Answer:

Option d...

Step-by-step explanation:

Hope it helps you dear

Answer 2

$\sf{\bold{\green{\underline{\underline{Given}}}}}$

• Ratio btw. the sides of squares = 1 : 2

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$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

• Ratio btw. the area of the squares = ???

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$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

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$\sf{\red{\boxed{\bold{area\: of\: square = ( side )^2 }}}}$

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ratio of sides = $\sf{\bold{\dfrac{1}{2}}}$

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• Squaring both the sides

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$\sf{\bold{ratio \:of\: sides)^2}}$ = $\sf{\bold( {\dfrac{1}{2})^2}}$

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ratio of areas = $\sf{\bold{\dfrac{1}{4}}}$

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$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

• Ratio of areas of squares = 1 : 4
• 1 : 4 = option d
• Therefore option d is correct

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$\sf{\red{\boxed{\bold{More\: to\: explore}}}}$

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• Area of rectangle = length × breadth
• Area of square = side × side
• Area of parallelogram = product of diagonals
• Area of triangle = 1/2 × base × height
• Area of trapezium = 1/2 × ( sum of parallel sides) × perpendicular distance