Question

19. In the below given layout, the design and measurements has been made such that area of two
bedrooms and Kitchen together is 95 sq. m.
+24.
х
Bath
5 m
s
Kitchen
Bedroom 1
room
2 m
Living Room
I
5 m
Bedroom 2
15 m
(a) The area of two bedrooms and kitchen are respectively equal to
(i) 5x, 5y (ii) 10x, 5y (iii) 5x, 10y (iii) x, y
(b) Find the length of the outer boundary of the layout.
(i) 27 m (ii) 15 m (iii) 50 m (iv) 54 m
(c) The pair of linear equation in two variables formed from the statements are
(i) x + y = 13, x+y=9
(ii) 2x + y = 13, x + y = 9
(iii) x + y = 13, 2x + y = 9
(iv) None of the above
(d) Which is the solution satisfying both the equations formed in (iii)?
(i) x=7, y = 6
(ii) x=8, y = 5
(iii) x = 0, y = 7 (iv) x = 5, y = 8
(e) Find the area of each bedroom.
(i) 30 sq.m
(ii) 35 sq.m
(iii) 65 sq.m
(iv) 42 sq.m
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