Question

Anurag make a kite using red and yellow collour red shape of paper is cut in the shape of square with diognal30cm. at one of the vertex of the square a yellow paper with the shape of an equlateral triangle of size such that a2=32√ 3 is attached to give the shape of the kite find the total paper required to
make the kite​

Answer 1

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

I think this will be helpfull to you

Answer 2

Answer:

Total area is 536cm^2

Step-by-step explanation:

Let side of square be x

then diagonal=30= x√2

x=30/√2

area of square is x^2 which is

$\frac{ {30}^{2} }{ \sqrt{2}^{2} }$

area of square= 900/2 = 450cm^2

Let a be side of equilateral triangle

a^2 =32√2 [Given]

Area of triangle=

$\frac{ \sqrt{3} {a}^{2} }{4}$

Putting the given values

=(√3×32√3)/4

= 8×3

area of equilateral ∆= 24 cm^2

.°. Total area = Area of square +Area of triangle

Total area = 450+24 = 474cm^2

I hope you understand

~Qriosium i! i2