Question

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 Fig. 12.17. How much paper of each shade has been used in it?​

Answer 1

Given:

Diagonal =32cm , Base=8cm , side=6cm

⇒Area of square

=

2

1

×(d)

2

=

2

1

×(32)

2

=512cm

2

⇒Area of shaded portion I= Area of shaded portion II

⇒

2

512

=256cm

2

∴ Area of paper required =256 cm

2

⇒For triangle III region

⇒S=

2

6+6+8

=10cm

⇒A=

s(s−a)(s−b)(s−c)

⇒Area =

10(10−6)(10−6)(10−8)

=

10×4×4×2

cm

2

⇒A=4×2

5

cm

2

=17.92 cm

2

Area of paper required for III triangle shade=17.92 cm

2