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Vinil7 [7]
3 years ago
15

Larry wants to buy some carpeting for his living room the length of the room is 2 times width and the total area of the room is

8 square meters what is the length of the living room
Mathematics
1 answer:
cluponka [151]3 years ago
7 0
Draw a diagram!  Lets say the width is x, then the length must be 2x.
   
                       Area = length x width
                          2x x  x    = 8sq meters
                         2x^2       = 8
                          x^2        =4
                           x      =  √4
                            x    = 2

we found the width the length is two times the width, making it 4 meters.



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pls solve quickly!: It took a boat 2 hours to reach town A going upstream. The way back was 1h20 min. What is the speed of the b
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15 mph

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Given: Boat took 2 hours to reach Town A going upstream.

           Speed of stream= 3 mph

           Time taken to reach back home= 1 hours 20 minutes

Lets assume distance covered one side be "d" and speed of boat in still water be "s".

∴ Speed of boat in upstream= (s-3) \ mph

   Speed of boat in downstream= (s+3)\ mph

Also converting into fraction of time taken to reach back home.

Remember; 1 hour= 60 minutes

∴ Time taken to reach back home= 60+20= 80\ minutes

Converting time given into fraction= \frac{80\ minutes}{60\ minutes} = \frac{4}{3} \ hours

hence, Time taken to reach back home is \frac{4}{3} \ hours

Now forming equation of boat travelling upstream and downstream, considering distance remain constant.

We know, Distance= speed \times  time

⇒ (s-3)\times 2= (s+3)\times \frac{4}{3}

Using distributive property of multiplication

⇒2s-6= \frac{4}{3}s +4

subtracting both side by \frac{4}{3} s

⇒2s-\frac{4}{3} s-6= 4

Adding both side by 6

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taking LCD as 3

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Multiplying both side by \frac{3}{2}

⇒s= \frac{3}{2} \times 10

∴s= 15 mph

Hence, 15 mph is the speed of the boat in still water.

8 0
4 years ago
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