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 A kite in the shape of a square with a diagonal 32 cm and an isosceles triangle of base
8 cm and sides 6 cm each is to be made of three different shades as shown in Figure. How much paper of each shade has been used in it?

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A kite is in the shape of square thats why ; diagonals are equal and divided in to two equal halfs ∴area of 1st part is in shape of triangle base 32cm and height 16cm Area of square (base x height) =16×16 =256 sq.cm Therefore, the area of paper required in each shape is 256 cm2. Similarly...
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A kite is in the shape of square thats why ; diagonals are equal and divided in to two equal halfs 

 ∴area of 1st part is in shape of triangle base 32cm and height 16cm 

Area of square (base x height)

=16×16

=256 sq.cm

Therefore, the area of paper required in each shape is 256 cm2.

Similarly area of 2nd part also 256 sq.cm

Area of 3rd part using with heron's formula 

Area of triangle

a=8cm

b=6cm

c=6cm

S=a+b+c/2

 =8+6+6/2

= 20/2

 =10cm

Area of IIIrd triangle

Area of paper required for IIIrd shade = 17.92 cm2

 

Total area is 256+256+17.92

 ( approximately)

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Mathematics & Science Tutor Having 14 yrs of Experience.

Area of 1 figure = Area of 2 figure = 16*16 since diagonal of square bisect each other. And in case of area of triangle use herons formula with side, 6,6,8 cm.
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