Question

Find the area of the shaded portion in the figure
28 cm 28 cm
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Fig. 22.42​

Answer 1

Answer:

(i) -2/3 x 3/5 + 5/2 - 3/5 x 1/6

=   -2/3 x 3/5 - 3/5 x 1/6 + 5/2        [by commutativity]

=   (-2/3 x 3/5) - (3/5 x 1/6) + 5/2

=   3/5 [-2/3 - 1/6] + 5/2              [by distributivity]

=   -3/5 [2/3 + 1/6] + 5/2

=   -3/5 [(4 + 1)/6] + 5/2

=   -3/5 x 5/6 + 5/2

=   -3/6 + 5/2

=   -1/2 + 5/2

=   (-1 + 5)/2

=   4/2

=   2

(ii) 2/5 x (-3/7) - 1/6 x 3/2 + 1/14 x 2/5

=   2/5 x (-3/7) + 1/14 x 2/5 - 1/6 x 3/2       [by commutativity]

=   [2/5 x (-3/7)] + [1/14 x 2/5] - 1/6 x 3/2  

=   2/5 [-3/7 + 1/14] - 3/12                    [by distributivity]

=   2/5 [(-6 + 1)/14] - 1/4

=   2/5 x (-5/14) - 1/4

=   -2/14 - 1/4

=   (-4 - 7)/28

=   -11/28

Step-by-step explanation: