Problema Solution

the area of the living room is twice the area of the kitchen. The width of both rooms is the same, but the living room is 20 feet longer than the kitchen. What are the dimensions of the living room?

Answer provided by our tutors

Let

x = the length of the kitchen

x + 20 = the length of the living room

y = the width of both rooms

The area of the kitchen is: xy

The area of the living room is: (x + 20)y

(x + 20)y = 2xy divide both sides by y

x + 20 = 2x

........

click here to see the equation solved for x

........

x = 20 ft

20 + 20 = 40 ft

the dimensions of the living room are 20 ft by 40 ft.