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Question Number 89928 by oustmuchiya@gmail.com last updated on 20/Apr/20

Answered by MJS last updated on 20/Apr/20

$$\mathrm{area}=a$$$$\mathrm{length}=l$$$$\mathrm{cost}=c$$$$c=xa+{yl}^2$$$$1250=24x+36y$$$$1600=24x+64y$$$$\Rightarrow x=\frac{100}{3}\wedge y=\frac{25}{2}$$$$c=\frac{100}{3}a+\frac{25}{2}{l}^2$$$$\mathrm{if}\mathrm{the}\mathrm{table}\mathrm{has}{25\mathrm{m}}^2\Rightarrow {\mathrm{it}}^{\prime }\mathrm{s}5\times 5\mathrm{m}$$$$c=\frac{100}{3}\times 25+\frac{25}{2}\times 25=\frac{6875}{6}\approx 1145.83$$$$[\mathrm{if}\mathrm{we}\mathrm{allow}l\notin \mathbb{N}\mathrm{we}\mathrm{need}\mathrm{more}\mathrm{info}]$$

Commented by jagoll last updated on 20/Apr/20

$$\mathrm{sir}\mathrm{why}\mathrm{not}1250=24\mathrm{x}+16\mathrm{y}?$$$$\mathrm{my}\mathrm{understanding}\mathrm{length}\mathrm{of}$$$$\mathrm{tabld}\mathrm{is}4\mathrm{m}?$$$$$$

Commented by jagoll last updated on 20/Apr/20

$$\mathrm{sir}\mathrm{why}\mathrm{not}$$$$1250=24\mathrm{x}+16\mathrm{y}$$$$1600=24\mathrm{x}+9\mathrm{y}?$$$$\mathrm{length}\mathrm{of}\mathrm{table}\mathrm{is}4\mathrm{m}\mathrm{and}3\mathrm{m}?$$

Commented by MJS last updated on 20/Apr/20

$$‘‘{\mathrm{length}}^{″}\mathrm{comes}\mathrm{from}‘‘{\mathrm{long}}^{″};\mathrm{a}\mathrm{table}\mathrm{has}\mathrm{a}$$$$\mathrm{long}\mathrm{and}\mathrm{a}\mathrm{short}\mathrm{side}\mathrm{if}{\mathrm{it}}^{\prime }\mathrm{s}\mathrm{not}\mathrm{square}.\mathrm{why}$$$$\mathrm{would}\mathrm{you}\mathrm{call}\mathrm{the}\mathrm{short}\mathrm{side}‘‘{\mathrm{length}}^{″}?$$

Commented by MJS last updated on 20/Apr/20

$$\mathrm{but}\mathrm{anyway},\mathrm{the}\mathrm{path}\mathrm{is}\mathrm{clear}...$$

Commented by john santu last updated on 20/Apr/20

$$isnotinwritingthesizeof$$$$arectangleintheformof$$$$length\times width?meanifyou$$$$writearectanglewiththesize$$$$of2m\times 4m,thenthelength$$$$is2m?$$

Commented by MJS last updated on 20/Apr/20

$$\mathrm{in}\mathrm{Austria}{\mathrm{we}}^{\prime }\mathrm{re}\mathrm{speaking}\mathrm{German}.\mathrm{here},$$$$\mathrm{length}\mathrm{is}‘‘\mathrm{l}{\stackrel{..}{\mathrm{a}nge}}^{″}\mathrm{and}\mathrm{width}\mathrm{is}‘‘{\mathrm{breite}}^{″}\mathrm{not}$$$$‘‘{\mathrm{weite}}^{″}\mathrm{which}\mathrm{is}\mathrm{only}\mathrm{used}\mathrm{for}\mathrm{openings}.$$$$\mathrm{so}\mathrm{for}\mathrm{me}\mathrm{it}\mathrm{was}\mathrm{clear}\mathrm{that}\mathrm{a}\mathrm{table}\mathrm{is}\mathrm{longer}$$$$\mathrm{than}\mathrm{it}\mathrm{is}\mathrm{broad}.\mathrm{calculate}\mathrm{what}\mathrm{you}\mathrm{want},$$$$\mathrm{the}\mathrm{path}\mathrm{is}\mathrm{there}.$$

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