A kite making company manufactures kites of different designs and colors. On the occasion of
Independence Day the company got an order of making Tricolor kites in the shape of square with
diagonal 44 cm and an isosceles triangle of base 14cm and side 20 cm. If all the kites are made
with three different shades orange, white and green as shown in figure.
Q (I) find the area enclosed by square ABCD. (2marks)
Q (II). ) If company has got an order for making 100 such kites, then how much paper of green
shade is needed.
Answers
Given : Tricolor kites
Tricolor kites in the shape of square with diagonal 44 cm and an isosceles triangle of base 14cm and side 20 cm
To Find : area enclosed by square ABCD
company has got an order for making 100 such kites, then how much paper of green shade is needed.
Solution:
square with diagonal 44 cm
Area = (1/2) * 44 * 44 = 968 cm²
area enclosed by square ABCD = 968 cm²
Half Area = 968/2 = 484 cm²
isosceles triangle of base 14cm and side 20 cm
Sides 14 , 20 , 20
s = ( 14 + 20 + 20 )/2 = 27
Area = √27(27 - 14)(27 - 20)(27 - 20)
= √3*3*3(13)(7)(7)
= 21 √39
= 131.14 cm²
As figure is not missing so which color is where is not known.
Two colors Each area = 484 cm²
One color area = 131.14 cm²
an order for making 100 such kites,
green shade needed = 100 x 484 or 100 x 131.14
= 48400 cm² or 13114 cm²
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