A kite in the shape of a square with a diagonal 32 cm and an isosceles triangle of base8 cm and sides 6 cm each is to be made of three different shades as shown in Fig. 12.17. How much paper of each shade has been used in it?

Question

Philoid · Accepted Answer

We know that,

The diagonal of the square bisect each other at right angle.

Hence,

Area of given kite = 1/2 *(diagonal)²

= 1/2 *32 *32

= 512cm²

Area of shade I = Area of shade II

= 256cm²

256cm²

For the III section,

Length of the sides of triangle = 6cm, 6cm and 8cm

Semi perimeter of triangle =

=

= 10cm

Using Heron’s formula,

Area of the III triangular piece =

=

= cm²