Question

the area of bedroom and kitchen is equal to.​

Answer 1

Answer:

bedroom 1 and bedroom 2 and kitchen

Answer 2

Step-by-step explanation:

Given:

• The length of the whole house is 15 m

→ 15 m = (x + y + 2) m

→ x + y = 15-2 = 13 m

→ x = 13 - y …(1)

• length of bedrooms = x m
• breadth of bedrooms = 5 m
• kitchen, length = y m , breadth = 5 m

also, area of two bedrooms and kitchen is 95 m²

since, area of a rectangle is length × breadth

therefore,

To find:

the area of two bedrooms and kitchen we have

Solution:

area of two bedrooms + kitchen

$95 = (5)(x) + (5)(x) + (5)(y) \: \: \: ....(2) \\ 95= 10x + 5y$

from (1) we get

$95 = 10(13 - y) + 5y \\95 = 130 - 10y + 5y \\ 95 = 130 - 5y \\ y = \frac{130 - 95}{5} = 7$

from (1) the value of y is 13-x

so put the value of y in 10x -5y

→

$95 = 10x + 5(7) \\95 = 10x + 35 \\ x = \frac{ 95 - 35}{10} = 6$

The area of two bedrooms and kitchen are respectively equal to 95 m²

and area of one bedroom and a kitchen is 95 - 5x = 95 -5(6) = 95 - 30 = 65m²