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Angelina_Jolie [31]
3 years ago
13

Write and solve an equation to find the unknown side length x (in inches). Perimeter =24.2 in. Sides of the shape are 8.3, 8.3,

and 3.8.
Mathematics
1 answer:
Anastasy [175]3 years ago
7 0

Answer:

Perimeter of shape,which is a convex polygon i.e quadrilateral = 24.2 in

Sides are 8.3 in, 8.3 in, 3.8 in ,and length of fourth side be x in.

As , Perimeter = Sum of all sides

                 → 24.2 = 8.3 + 8.3 + 3.8 + x

                 → 24.2 = 16.6 +3.8 + x

                 → 24.2 = 20 .4 + x

Keeping like terms on one side, of equation

            → 24.2 - 20.4 = x

            → 3.8 = x

            → x = 3.8

So, length of fourth side = 3.8 in

The given shape is definately either a Parallelogram or a kite.



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*Given

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Money of Andy                - 2 times as much as Polly

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Let

B - Phoebe's money

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L - Polly's money

1. The money of the Phoebe, Andy, and Polly, when added together would total £270. Thus,

                 B + A + L  = £270                     (EQUATION 1)

2. Phoebe has three times as much money as Andy and this is expressed as

 

                 B = 3A

3. Andy has twice as much money as Polly and this is expressed as

                 A = 2L                           (EQUATION 2)

4. This means that Phoebe has ____ as much money as Polly,

                B = 3A

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                B = 6L                            (EQUATION 3)

This step allows us to eliminate the variables B and A in EQUATION 1 by expressing the equation in terms of Polly's money only.

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                 6L + 2L + L = £270

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6. Substituting L into EQUATIONS 2 and 3 would give us the values for Andy's money and Phoebe's money, respectively.

                 A = 2L                          

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                 B = £180

Phoebe has £180

Therefore, Polly's money is £30, Andy's is £60, and Phoebe's is £180.

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