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?

Answer 1

Therefore the length of the living room = 24 ft

Step-by-step explanation:

Given that , Consuelo's living room is in the shape of rectangle and has an area of 360 square feet and the width of the living room is $\frac {5}{8}$   its length

Let ,the length of the living room is = x ft

Then width =$\frac {5}{8}x$ ft

Therefore the area of the living room =$x \times \frac {5}{8}x ft^2$

According to problem,

$x\times \frac {5}{8}x = 360$

⇔$\frac{5}{8}x^2=360$

⇔$x^2 = \frac{360\times 8}{5}$

⇔$x^2 = 576$

⇔$x=\sqrt{576}$

⇔$x = 24$

Therefore the length of the living room = 24 ft

Answer 2

Answer:

24 feet.

Step-by-step explanation:

Given: Area of living room= 360 ft²

           Width of living room= $\frac{5}{8} \ of\ its\ length$

Lets assume length of living room be "x".

We know the living room is in rectangle shape.

Now, forming an equation to determine length of living room.

Remember; Area of rectangle= $width\times length$

⇒ $360= \frac{5x}{8} \times x$

⇒ $360= \frac{5}{8} \times x^{2}$

multiplying both side by 8

⇒$360\times 8= x^{2} \times 5$

dividing both side by 5

⇒ $\frac{360\times 8}{5} = x^{2}$

⇒ $576= x^{2}$

Take square root on both side, remember, √a²=a

⇒ x= $\sqrt{576} = 24$

Hence, the length of room is 24 ft.