Question

Amit is planning to buy a house and the layout is given below. The design and the
measurement has been made such that areas of two bedrooms and kitchen together is
95 sq.m.






(i) The area of two bedrooms and kitchen are respectively equal to ________.
(a) 5x, 5y (b) 10x, 5y (c) 5x, 10y (d) x, y
(ii) Find the length of the outer boundary of the layout.
(a) 27 m (b) 15 m (c) 50 m (d) 54 m
(iii) Find the area of each bedroom.
(a) 30 m2 (b) 35 m2 (c) 65 m2 (d) 42 m2
(iv) Find the area of living room in the layout.
(a) 30 m2 (b) 35 m2 (c) 75 m2 (d) 65 m2​

Answer 1

Answer:

(i) 10x,5y

(ii) 54 m

(iii) 30m^2

(iv)75m^2

Step-by-step explanation:

(i) 10x,5y

(ii) Length of the outer boundary of the layout=Perimeter of the rectangle

=2(Length+Breadth)

=2(12+15)

=2x27

=54 m

(iii) To find area, we need to find x and y

Solving equations (1) and

x+y=13

2x+y=19

From(1)

          x+y=13

          y=13-x

Putting value of y in (2)

          2x+y=19

          2x+(13-x)=19

          2x-x=19-13

          x=6

Putting x=6 in (1)

          y=13-x

          y=13-6

          y=7

Thus, x=6m and y=7m

Now,

         Area of Bedroom=5*x=5*x=30m^2

         Area of kitchen=5*y=5*7=30m^2

(iv) Area of living room

          = Area of 15x7 rectangle-Area of bedroom

          =(15x7)-30

          =105-30

          =75m^2