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

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We know that

Area of square = 1/2 (diagonal)2

Area of the given kite = 1/2(32cm)2 = 512 cm2

Area of 1st shade = Area of 2nd shade

= 512 cm2/2 = 256 cm2

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

For IIIrd triangle

Semi-perimeter, S = (6 + 6 + 8)cm/2 = 10 cm

By Heron’s formula,

Area of paper required for IIIrd shade = 17.92 cm2

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