Question

Chocolate is in the form of quadrilateral with sides 6 cm, 10 cm, 5 cm and 5 cm is cut into two

parts on on of its diagonal by a lady. part 1 is given to her maid and part 2 is equally divided

among a driver and gardener.

i) The length of BD

a) 9cm b) 8 cm c) 7cm d) 6cm

ii) Area of ∆ ABD

a) 24cm2

b) 12cm2

c) 42cm2

d) 52cm2



iii) The sum of all the angles of a quadrilateral is equal to

a) 150° b) 180° c) 360° d) 108°

iv) A diagonal of a parallelogram divides it into two congruent _____

a) Rectangle b) Square c) Triangles d) Rhombus

v) Each angle of a rectangle is _______

a) 50° b) 90° c) 60° d) 108°​

Answer 1

Answer:

Step-by-step explanation:

1.) the distribution would be fair

2.)The value depicted here is caring nature, immaterialness

There is a figure that goes with this question. The figure is attached.

ΔABD is a right angled triangle

∴ AB² + BD² = AD²

or BD² = AD² - AB²

or BD² = 10² - 6²

or BD² = 100 - 36

or BD² = 64

or BD = 8

Area of ΔABD = 1/2 × 6 × 8 = 24 cm²

Area of ΔBCD can be calculated using Heron's formula

Area =

semi-parameter s = (5+5+8)/2 = 9

Area =

       =

       = 12 cm²

ΔBCD forms Part-I and ΔABD forms Part-II

Part-2 is equally divided between driver and gardener so they both get the chocolate of area 12 cm²

Thus the distribution is fair

The lady has distributed the chocolate among the three indiscriminately. This shows that she cares for all three and there is no biased.