A kite in the shape of a square with a diagonal 32 cm and an isosceles triangle of base 8 cm and sides 6 cm each is to be made of three different shades as shown in figure. How much paper of each shade has been used in it?
Solution:
It is given that ABCD is a square with
cm.
is isosceles with EF=8 cm and
cm.
We know that diagonals of square are equal and bisect each other at
.
Area of
(1)
Area of
=Area of
(2)
Semi-perimeter of
cm
Using Heron’s formula, Area of
(approx.) (3)
From (1), (2) and (3), we can say that
Area of region I=Area of region II=256
Area of region III=17.9
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