If the sides of two squares are in the ratio 2:1, the ratio of the areas of the two squares will be ___________.

Question

If the sides of two squares are in the ratio 2-1- the ratio of the areas of the two squares will be -1-23-14-13-4

Toppr Admin · Accepted Answer

The correct option is C 4-1Let the side of one square is 2x and the side of the other square is x-So- the ratio of their areas-xA0-2x-2x2-4x2x2-xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0-41 or 4-1-

If the sides of two squares are in the ratio 2:1, the ratio of the areas of the two squares will be ___________.
1:2
3:1
4:1
3:4

The correct option is C 4:1
Let the side of one square is $2 x$ and the side of the other square is $x$ .

So, the ratio of their areas $= \frac{(2 x)^{2}}{x^{2}} = \frac{4 x^{2}}{x^{2}}$

$= \frac{4}{1}$ or $4 : 1.$

If the sides of two squares are in the ratio 2:1, the ratio of the areas of the two squares will be ___________.1:23:14:13:4

The correct option is C 4:1Let the side of one square is 2x and the side of the other square is x.So, the ratio of their areas =(2x)2x2=4x2x2 =41 or 4:1.

If the sides of two squares are in the ratio 2:1, the ratio of the areas of the two squares will be ___________.
1:2
3:1
4:1
3:4

The correct option is C 4:1
Let the side of one square is $2 x$ and the side of the other square is $x$ .

So, the ratio of their areas $= \frac{(2 x)^{2}}{x^{2}} = \frac{4 x^{2}}{x^{2}}$

$= \frac{4}{1}$ or $4 : 1.$