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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Solution

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

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