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Evgesh-ka [11]
4 years ago
14

The perimeter of the rectangle below is 128 units. Find the length of side VW .

Mathematics
2 answers:
Morgarella [4.7K]4 years ago
8 0
I hope this helps you




Perimeter=2 (length +widht )



128=2 (2y+3+3y+1)



64=5y+4


5y=60


y=12



VW=3y+1=3.12+1=37
crimeas [40]4 years ago
4 0
First we write equation for perimeter of rectangle. Why? because we have been given that it is 128 units and maybe we can calculate something from it.

P = 2a + 2b    where 
a = 2(3y + 1 )  and   b = 2(2y +3)
P = 6y + 2 + 4y + 6 = 10y + 8 = 128
now we can solve for y
10y = 120
y = 12

Now we just express value of y in formula for finding lenght of VW and we got length

Answer is 37

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Las edades de dos hermanos tienen una razón de 2 a 1. Cuando transcurran 4 años, la razón entre sus edades será de 8 a 6. ¿Cuánt
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The age of brothers are 4 years and 2 years respectively.

Step-by-step explanation:

We are given that the ages of two brothers have a ratio of 2 to 1. When 4 years have passed, the ratio of their ages will be 8 to 6.

Let the age of the first brother be 'x years' and the age of the second brother be 'y years'.

So, according to the question;

  • The first condition states that the ages of two brothers have a ratio of 2 to 1, that means;

                                      \frac{x}{y} =\frac{2}{1}  

                                      x=2y  -------------- [equation 1]

  • The second condition states that when 4 years have passed, the ratio of their ages will be 8 to 6, that means;

                                       \frac{x+4}{y+4}=\frac{8}{6}

                               6({x+4})=8}(y+4)

                               6x+24=8y+32

                               6(2y)+24=8y+32

                               12y-8y=32-24

                                    4y=8

                                     y=\frac{8}{4} = 2 years

Putting the value of y in equation 1 we get;

                                     x = 2y

                                      x = 2 \times 2 = 4 years

Hence, the age of brothers are 4 years and 2 years respectively.

3 0
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