°•☆Give detailed well explained answer☆•°
i)Which pair of linear equation does describe this situation?
ii) What is the length of the outer boundary of the layout?
iii) What is the area of 1 bedroom?
iv) What is the area of the living room in the layout?
v) What is the cost of laying tiles in the kitchen at a rate of Rs.50per sq.m ?
Answers
Answer :-
i) It is given that area of two bedrooms and area of kitchen is 95 m²
⇒ Area of bedroom = 5 × x = 5x
⇒ Area of 2 berooms = 5x + 5x = 10x
⇒ Area of kitchen = 5 × y = 5y
Area of 2 bedrooms + Area of kitchen = 10x + 5y
⇒ 10x + 5y = 95
⇒ 2x + y = 19
Also,
⇒ x + 2 + y = 15
⇒ x + y = 13
Linear equations that describe this situation are 2x + y = 19 and x + y = 13.
ii) Length of rectangle = 15 m
Breadth = 5 + 5 + 2 = 12 m
Perimeter = 2 ( 15 + 12 )
= 2 ( 27 )
= 54 m
Length of the outer boundary of the layout = 54 m
iii) Area of 1 bedroom = 5x
Solving the linear equations -
⇒ 2x + y = 19 - (i)
⇒ x + y = 13 - (ii)
Multiplying (ii) by 2
⇒ 2x + 2y = 26 - (iii)
Subtracting equation ii from iii
⇒ 2x + 2y - 2x - y = 26 - 19
⇒ y = 7
Substituting in equation ii
⇒ x + y = 13
⇒ x + 7 = 13
⇒ x = 6
Area of bedroom = 5 × 6 = 30 m²
iv) Area of living room = Area of whole house - ( Area of 2 bedroom + Area of bathroom + Area of kitchen )
⇒ Area of whole house = 15 × 12 = 180 m²
⇒ Area of 2 bedroom = 2 × 30 = 60 m²
⇒ Area of bathroom = 5 × 2 = 10 m²
⇒ Area of kitchen = 5y = 5 × 7 = 35 m²
Area of living room = 180 - ( 60 + 10 + 35 )
= 180 - 105
= 75
Area of living room = 75 m²
v) Area of kitchen = 35 m²
Cost of laying tiles in the kitchen at a rate of Rs. 50 = 35 × 50
= Rs. 1750
Cost of laying tiles in the kitchen at a rate of Rs.50 per m² is Rs. 1750.
ok then this will be the place talk..
economics over?