Consuelo living room is in the shape of a rectangle and haa an area of 360 square feet. the width of the livingroom is 5/8 its lenght. what is the lenght
of the living room
why don't you do the explainations because I am confused
?
To find the length of Consuelo's living room, we can use the formula for the area of a rectangle:
Area = Length * Width
Given that the area of the living room is 360 square feet, we can write the equation as:
360 = Length * Width
Now we are given that the width of the living room is 5/8 of its length. We can represent this relationship as:
Width = (5/8) * Length
Substituting this value for the width in the equation, we have:
360 = Length * (5/8) * Length
To simplify the equation, we can multiply both sides by 8 to get rid of the fraction:
8 * 360 = 5 * Length^2
2880 = 5 * Length^2
Dividing both sides by 5:
576 = Length^2
Taking the square root of both sides:
Length = √576
Length = 24 or -24 (since the length cannot be negative)
Therefore, the length of the living room is 24 feet.
360=LW
W=5/8 L
360=L*5/8 L=5/8 L^2
L^2=8*360/5=8*72
L=sqrt(4*144)=24