Question

Aria unui patrat este de 6 ori mai mica decat aria unui dreptunghi cu lungimea de 15m, iar latimea cu 6m mai mica decat lungimea.Afla lungimea laturii patratului

Answer 1

$A_{p}=A_{d} \div 6$

$L_{d} = 15 \: m$

$l_{d} = L_{d} - 6$

$l_{d} = 15 - 6$

$l_{d} = 9 \: m$

$A_{d}=L_{d} \times l_{d}$

$A_{d}=15 \times 9$

$A_{d}=135 \: {m}^{2}$

$A_{p}=A_{d} \div 6$

$A_{p}= 135 \div 6$

$A_{p}=22.5 \: {m}^{2}$

$A_{p}={l}_{p}^{2}$

$22.5 = l_{p}^{2}$

$l_{p}= \sqrt{22.5}$

$l_{p}= \sqrt{ \frac{225}{10} }$

$l_{p}= \frac{ \sqrt{225} }{ \sqrt{10} }$

$l_{p}= \frac{15}{ \sqrt{10} }$

$l_{p}= \frac{15 \sqrt{10} }{10}$

$l_{p}= \frac{3 \sqrt{10} }{2} \: m$