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Question Number 189169 by mr W last updated on 12/Mar/23

Commented by mr W last updated on 12/Mar/23

find the shaded area=?

$${find}\:{the}\:{shaded}\:{area}=? \\ $$

Commented by Ari last updated on 12/Mar/23

why are the areas of tow isosceles  triangles equal?

$${why}\:{are}\:{the}\:{areas}\:{of}\:{tow}\:{isosceles} \\ $$$${triangles}\:{equal}? \\ $$

Commented by HeferH last updated on 13/Mar/23

sorry i dont see any isosceles triangle

$$\mathrm{sorry}\:\mathrm{i}\:\mathrm{dont}\:\mathrm{see}\:\mathrm{any}\:\mathrm{isosceles}\:\mathrm{triangle} \\ $$

Commented by HeferH last updated on 13/Mar/23

if you meant the triangles of area x:   same height, same base ⇒same area

$$\mathrm{if}\:\mathrm{you}\:\mathrm{meant}\:\mathrm{the}\:\mathrm{triangles}\:\mathrm{of}\:\mathrm{area}\:\mathrm{x}: \\ $$$$\:\mathrm{same}\:\mathrm{height},\:\mathrm{same}\:\mathrm{base}\:\Rightarrow\mathrm{same}\:\mathrm{area} \\ $$

Answered by HeferH last updated on 12/Mar/23

Commented by HeferH last updated on 12/Mar/23

x^2  = 2∙8  x = 4  Rectangle area = 2(4 + 8) = 24  Yellow = 24 − (6 +8 +2) = 8u^2

$${x}^{\mathrm{2}} \:=\:\mathrm{2}\centerdot\mathrm{8} \\ $$$${x}\:=\:\mathrm{4} \\ $$$${Rectangle}\:{area}\:=\:\mathrm{2}\left(\mathrm{4}\:+\:\mathrm{8}\right)\:=\:\mathrm{24} \\ $$$${Yellow}\:=\:\mathrm{24}\:−\:\left(\mathrm{6}\:+\mathrm{8}\:+\mathrm{2}\right)\:=\:\mathrm{8}{u}^{\mathrm{2}} \\ $$

Commented by mr W last updated on 12/Mar/23

great!

$${great}! \\ $$

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