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?

We know that

Area of square (diagonal)²

Area of the given kite

Area of 1^st shade = Area of 2^nd shade

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

For III^rd triangle

Semi-perimeter,

By Heron’s formula,

Area of triangle

Area of III^rd triangle

Area of paper required for III^rd shade = 17.92 cm²