Question

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?

Answer 1

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 III^rd triangle

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

By Heron’s formula,

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