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Question Number 205461 by mr W last updated on 21/Mar/24

Commented by mr W last updated on 21/Mar/24

find the area of the third part   between two squares.

findtheareaofthethirdpartbetweentwosquares.

Answered by mr W last updated on 22/Mar/24

Commented by mr W last updated on 22/Mar/24

green hatched area=250+150=400  blue hatched area=unknown area ?  due to symmetry   blue hatched area=green hatched area  ⇒?=250+150=400 ✓

greenhatchedarea=250+150=400bluehatchedarea=unknownarea?duetosymmetrybluehatchedarea=greenhatchedarea?=250+150=400

Answered by A5T last updated on 21/Mar/24

(((a+s)e)/2)=250;(((a+s)d)/2)=150  ⇒(((a+s)(d+e))/2)=400⇒s^2 −a^2 =800  a^2 +400+?=s^2 ⇒s^2 −a^2 =400+?=800⇒?=400cm^2

(a+s)e2=250;(a+s)d2=150(a+s)(d+e)2=400s2a2=800a2+400+?=s2s2a2=400+?=800?=400cm2

Commented by mr W last updated on 22/Mar/24

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Commented by A5T last updated on 21/Mar/24

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