Question

3. How much paper of each shade is needed to make a kite given in the figure, in which
ABCD is a square with diagonal 60 cm?
Blue Orange

O
Black
Blue
C
20 cm
20 om
Orange
30 am

Answer 1

Solution

First of all we'll find the area of square

ABCD

Area of square ABCD 2 x Area of A

ABC

Area of ABCD = 2(% x 44 x 22)

Area of ABCD 2 x 88

Area of ABCD 968 cm2

From the figure, it's clear that square is

divided into 4 equal parts.

Paper of red shade needed =x 968

Paper of red shade needed 242 cm

.Paper of yellow shade needed = (242 +

242) cm

Paper of yellow shade needed = 484

cm

Now, the green shade is compromised

of A AOD and that downwards trianglePaper of yellow shade needed = 4834

Cm2

Now, the green shade is compromised

of A AOD and that downwards triangle

Let's find the area of downwards triangle:

S -

20 + 20 +14

= 27 cm

2

Using Heron's formula:

A = Vs(s - a)(s - b)(s c)

27(27- 20)(27 - 20)(27 14)

v27 V27x x7x7x13

21 39 cm2

21 x 6.245 cm2

131.15 cm

.Paper of green shade needed 131.15+

242

Paper of green shade needed 373.15

Cm2.Paper of red shade needed is 242 cm.

.Paper of yellow shade needed is 484

Cm.

Paper of green shade needed is 373.15

cm.