A kite in the shape of a shape with a diagonal 32cm and an isosceles triangle of base 8cm and sides 6cm 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?
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Answer:
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
Step-by-step explanation:
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