Question

Study the layout given and answer the questions.
a. Write an expression for the total area covered by
Bedrooms
(ii) The Kitchen
b. Calculatethe perimeter of the living room
c. Find the cost of cementing the floor of the house at the rate of Rs. 180 per sq. m.​

Answer 1

Step-by-step explanation:

(a)

length of bedroom =x m

Breadth of bedroom =5 m

And, length of kitchen =15−(x+2)=13−x m

Breadth of kitchen =5 m

So, Area of both kitchen and bedrooms =2× times of area of bedroom + area of kitchen

=2(5×x)+(13−x)×5

=10x+(65−5x)

=(65+5x)m

2

(b)

From figure,

Perimeter of the living room

=15+2+x+5+(15−x)+5+2=44m

(c)

From figure,

Total area of both living the room and the bedrooms =(5×x)+(7×15)=(5x+105)m

2

The cost of carpeting is Rs. 50/m

2

Therefore, total cost of carpeting

=(5x+105)×50=Rs.250(x+21)

⇒x=7m