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mr Goodwill [35]
3 years ago
8

The length of a rectangle is 3 more days than than twice its width. The perimeter of the rectangle is 42 centimeters. What is th

e length of the rectangle​
Mathematics
1 answer:
Yuliya22 [10]3 years ago
6 0

Solution:

It is given that length of a rectangle is 3 more days than than twice its width. The perimeter of the rectangle is 42 centimeters.

So,

  • Perimeter of Rectangle = 42 cm

Let Required Breadth of Rectangle be x

  • Then, Length of Rectangle = 2x + 3

Now, We have ;

Perimeter of Rectangle = 2(l+b)

Perimeter of Rectangle = 2(2x+3+x)

42 = 2(3x+3)

42 = 6x + 6

42 - 6= 6x

36= 6x

x = 6 cm

  • So, Length of Rectangle = 2x + 3

Length of Rectangle = 2(6) + 10

Length of Rectangle = 22 cm

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The equation is given by y=mx+c, where m=\frac{3}{2} is the slope and c=-3 is the y-intercept.

Therefore the equation is y=\frac{3}{2}x-3

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<u>Option A</u>: (0,3)

Substituting the coordinate (0,3) in the equation -2x+3y=9, we get;

-2(0)+3(3)=9

           0+9=9

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Since, both sides of the equation are equal, then the coordinate (0,3) is a solution to the equation.

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<u>Option B</u>: (1,-3)

Substituting the coordinate (1,-3) in the equation  -2x+3y=9, we get;

-2(1)+3(-3)=9

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Since, both sides of the equation are not equal, then the coordinate (1,-3) is not a solution to the equation.

Hence, Option B is the correct answer.

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Substituting the coordinate (-3,1) in the equation  -2x+3y=9, we get;

-2(-3)+3(1)=9

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Since, both sides of the equation are equal, then the coordinate (-3,1) is a solution to the equation.

Hence, Option C is the correct answer.

Therefore, the coordinate (1,-3) is not a solution to the equation -2x+3y=9

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