Question

the ratio between length and breath a rectangle field 1:3 its area 3/4hectares find its perimeter of field

Answer 1

Hi frend ☺

HERE IS YOUR ANSWER -:

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$let \: the \: sides \: be \: 1k \: and \: 3k \\ given \: area \: = \frac{3}{4} hectares \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{3}{4} \times 10000m^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 7500m^{2}$
$l \times b = 7500 \\ 1k \times 3k = 7500 \\ 3k^{2} = 7500 \\ k^{2} = 2500 \\ k = 50$
$therefore\\ l = 3 \times 50 = 150m \\ b = 1 \times 50 = 50m$
$perimeter \: = 2(l + b) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 2(150 + 50) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 2(200) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 400m$
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HOPE IT HELPS ☺