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The-scale-of-a-map-is-1-40-000-Calculate-the-area-in-square-centimeters-on-the-map-of-forest-reserved-which-covers-170km-2-please-help-solve-this-question-




Question Number 75277 by otchereabdullai@gmail.com last updated on 09/Dec/19
The scale of a map is 1:40,000 . Calculate  the area in square centimeters on the  map of forest reserved which covers   170km^2 .  please help solve this question
$$\mathrm{The}\:\mathrm{scale}\:\mathrm{of}\:\mathrm{a}\:\mathrm{map}\:\mathrm{is}\:\mathrm{1}:\mathrm{40},\mathrm{000}\:.\:\mathrm{Calculate} \\ $$$$\mathrm{the}\:\mathrm{area}\:\mathrm{in}\:\mathrm{square}\:\mathrm{centimeters}\:\mathrm{on}\:\mathrm{the} \\ $$$$\mathrm{map}\:\mathrm{of}\:\mathrm{forest}\:\mathrm{reserved}\:\mathrm{which}\:\mathrm{covers}\: \\ $$$$\mathrm{170km}^{\mathrm{2}} . \\ $$$$\mathrm{please}\:\mathrm{help}\:\mathrm{solve}\:\mathrm{this}\:\mathrm{question} \\ $$
Answered by mr W last updated on 09/Dec/19
scale 1:40000 means  1 cm on map = 40000 cm in reality  or  1 cm on map = 400 m in reality  or  1 cm on map = 0.4 km in reality  or  1 cm^2  on map = 0.4^2 =0.16 km^2  in reality  now the question is  x cm^2  on map =170 km^2  in reality?  (x/1)=((170)/(0.16))  ⇒x=170/0.16=1062.5 cm^2
$${scale}\:\mathrm{1}:\mathrm{40000}\:{means} \\ $$$$\mathrm{1}\:{cm}\:{on}\:{map}\:=\:\mathrm{40000}\:{cm}\:{in}\:{reality} \\ $$$${or} \\ $$$$\mathrm{1}\:{cm}\:{on}\:{map}\:=\:\mathrm{400}\:{m}\:{in}\:{reality} \\ $$$${or} \\ $$$$\mathrm{1}\:{cm}\:{on}\:{map}\:=\:\mathrm{0}.\mathrm{4}\:{km}\:{in}\:{reality} \\ $$$${or} \\ $$$$\mathrm{1}\:{cm}^{\mathrm{2}} \:{on}\:{map}\:=\:\mathrm{0}.\mathrm{4}^{\mathrm{2}} =\mathrm{0}.\mathrm{16}\:{km}^{\mathrm{2}} \:{in}\:{reality} \\ $$$${now}\:{the}\:{question}\:{is} \\ $$$${x}\:{cm}^{\mathrm{2}} \:{on}\:{map}\:=\mathrm{170}\:{km}^{\mathrm{2}} \:{in}\:{reality}? \\ $$$$\frac{{x}}{\mathrm{1}}=\frac{\mathrm{170}}{\mathrm{0}.\mathrm{16}} \\ $$$$\Rightarrow{x}=\mathrm{170}/\mathrm{0}.\mathrm{16}=\mathrm{1062}.\mathrm{5}\:{cm}^{\mathrm{2}} \\ $$
Commented by otchereabdullai@gmail.com last updated on 09/Dec/19
prof W  may God add more years to your   age
$$\mathrm{prof}\:\mathrm{W}\:\:\mathrm{may}\:\mathrm{God}\:\mathrm{add}\:\mathrm{more}\:\mathrm{years}\:\mathrm{to}\:\mathrm{your}\: \\ $$$$\mathrm{age} \\ $$
Commented by mr W last updated on 09/Dec/19
Alhamdulillah!
$$\boldsymbol{\mathcal{A}}{lhamdulillah}! \\ $$
Commented by peter frank last updated on 09/Dec/19
true sir otchere ...GODBLESS HIM
$${true}\:{sir}\:{otchere}\:…{GODBLESS}\:{HIM} \\ $$

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