Question

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 5/8 its length. What is the length of the living room? HELPPPPPPP Please

Answer 1

Area of a rectangle is
A=lw

you have length which is 5/8 and the are which is 360.

so to find width you multiply the area by 8 and divide by 5

360= (5/8)(w)
2880=5w
576=w

you multiply by 8 because you're multiplying by the recipricol of 5/8

so w = 576 ft

Answer 2

24 feet

Let length = x. because width is 5/8 the length, let width equal 5/8x.
Area equals length times width. Therefore, area equals:


`(5x)/(8)` times "x" =
`360ft^(2)`

this equals
`(5x^2)/(8)` =
`360ft^(2)`, because x times x is
`x^(2)`

Then multiply both sides by 8 to get rid of the fraction.


`5 x^(2)` =
`2880ft^(2)`

Divide both sides by 5 to get
`x^(2)` by itself.


`x^(2) = 576ft^(2)`

Take the square of both sides to get x by itself.


`√(x^2) = √(576ft^2)`

x = 24ft

You can check your answer by plugging in 24ft into your original equation.


`(5(24ft))/(8)` times (24ft) =
`360ft^(2)`


`(120ft)/(8)` times 24 =
`360ft^(2)`

15ft times 24ft =
`360ft^(2)`


`360ft^(2)` =
`360ft^(2)`