Respuesta :
Question is not proper, Proper question is given below;
Consuelo's living room is in the shape of a rectangle and has an area of 360 square feet. The width of the living room is [tex]\frac{5}{8}\ ft[/tex] its length. What is the length of the living room?
Answer:
Length of the living room is 24 feet.
Step-by-step explanation:
Given:
Area of the living room = [tex]360 \ ft^2[/tex]
We need to find the length of the living room.
Solution:
the length of the living room be 'l'.
Given:
Width of the living room [tex]\frac{5}{8}\ ft[/tex] of it length.
width [tex]w= \frac{5}{8}l[/tex]
It has been given that living room is in rectangular format.
So we can say that;
Area of living room is equal to length of the living room times width of the living room.
framing in equation form we get;
[tex]l\times w=360\\\\l\times\frac{5}{8}l=360\\\\\frac{5}{8}l^2=360[/tex]
Now Multiplying both side by [tex]\frac{8}{5}[/tex] we get;
[tex]\frac{5}{8}l^2\times\frac{8}{5}=360\times\frac{8}{5}\\\\l^2= 576[/tex]
Taking square root on both side we get;
[tex]\sqrt{l^2} =\sqrt{576} \\\\l=24 \ ft[/tex]
Hence Length of the living room is 24 feet.
