English, asked by rajbirkalwan, 9 months ago

the ratio of the areas of two squares is 9 ratio 16 then the ratio of their perimeter is

Answers

Answered by abdul9838

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Hey mate here is Answer

Solution

According to the Question

The ratio of the areas of two squares=9/16

Let the the side of first square be a1

Let

side of second square be a2

Now

$\bf \orange{ \frac{area \: of \: first \: square}{area \: of \: second \: square} = \frac{9}{16} } \\ \\ \bf \orange{( \frac{a1}{a2} )^{2} = \frac{9}{16} } \\ \\ \bf \orange{ \frac{a1}{a2 } = \sqrt{ \frac{9}{16} } } \\ \\ \bf \orange{ \frac{a1}{a2} = \frac{3}{4} } \\ \\ \bf \orange{ \therefore \: a1 = 3 \: \: and \: a2 = 4} \\ \\ \: \bf \red{ \huge \: now} \\ \\ \\ \bf \purple{ \underline{ \underline{ratio \: of \: their \: perimeter}} = \frac{4a1}{4a2} } \\ \\ \\ \bf \purple{ \underline{ \underline{ratio \: of \: their \: perimeter}} = \frac{4a1}{4a2} } \\ \\ \\ \bf \purple{ \underline{ \underline{ratio \: of \: their \: perimeter}} = \frac{ \cancel4 \times 3}{ \cancel4 \times 4} } \\ \\ \\ \bf \purple{ \underline{ \underline{ratio \: of \: their \: perimeter}} = \frac{3}{4} \: \: answer }$

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