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katrin [286]
2 years ago
5

The length of a rectangle is 3 times its width. If the length were increased by 2 inches and the width by 1 inch, the new perime

ter would be 62 inches. What is the width and length of the rectangle? If w represents the width of the rectangle, then which equation could be used to solve for w?
2(4 w + 3) = 62
( w + 1)(3w + 2)=62
2(3 w + 3) = 62
Mathematics
2 answers:
Dennis_Churaev [7]2 years ago
5 0
Pretty sure it’s the second option because length would be 3w+2
and width would be w+1 and with area you have to multiply so it would just be the (w+1)(3w+2)
lisabon 2012 [21]2 years ago
5 0

Answer:

     2(4 w + 3) = 62

          width  =7      length = 21

Step-by-step explanation:

For the perimeter you need :

2 times the width     and    2 times the length (length =3w)

so

2(w+1) + 2 (3w+2) =

2w+2 + 6w+4 =

8w +6

you  can factor this by:

2(4w+3)

                      8w +6= 62

                       8W = 56

                      w= 7      l= 21

                    2(7+1)  + 2 (21+2)

                           16 +  46 = 62

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Answer: (1, 4)


Explanation: When using the method of elimination, the goal is to eliminate a variable by either adding or subtracting the 2 equations. For this question, you can choose either to eliminate X or Y. I’ll eliminate X as an example:

In order to eliminate a variable, the same variable in both equations must have the same coefficient.

(1) 3x+y=7
(2) 2x+5y=22

Multiply (1) by 2:

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Multiply (2) by 3:

(4) 6x+15y=66

Now that X in both equations has the same coefficient of 6, you can subtract the two equations to officially eliminate the variable and solve for Y:

Subtract (4) from (3):

-13y=-52
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Now that you have the value of Y, substitute that into either one of the equations to get X. I’ll use the first equation as an example:

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