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navik [9.2K]
3 years ago
14

2. The width of a rectangle is 12 inches less than its length. The perimeter of the rect-

Mathematics
1 answer:
Alona [7]3 years ago
5 0

Answer:

P= 2*Lenght + 2*Width

Since the perimeter is 56 inches we can solve for the lenght with this equation:

56 in = 2*12in + 2*Length

And solving for the length we got:

Length = \frac{56in -24 in}{2} 16 in

So then the lenght = 16 inhes and the width of 12 inches

Step-by-step explanation:

For a rectangle of width 12 inches and lenght y inches we know that the perimeter is given by:

P= 2*Lenght + 2*Width

Since the perimeter is 56 inches we can solve for the lenght with this equation:

56 in = 2*12in + 2*Length

And solving for the length we got:

Length = \frac{56in -24 in}{2} 16 in

So then the lenght = 16 inhes and the width of 12 inches

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What is a solution to (x + 6)(x + 2) = 60?
Reika [66]

Solution of the equation (x+6)(x+2)=60 is x=4 and x=-12

Step-by-step explanation:

We need to solve the equation: (x+6)(x+2)=60

Solving:

(x+6)(x+2)=60

Multiplying terms on the left hand side

x(x+2)+6(x+2)=60

x^2+2x+6x+12=60

x^2+8x+12=60

x^2+8x+12-60=0

x^2+8x-48=0

Now factorizing:

x^2+12x-4x-48=0

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(x-4)(x+12)=0

(x-4)=0\,\,and\,\,(x+12)=0

x=4\,\,and\,\,x=-12

So, solution of the equation (x+6)(x+2)=60 is x=4 and x=-12

Keywords: Solving Equations

Learn more about Solving Equations at:

  • brainly.com/question/1563227
  • brainly.com/question/2403985
  • brainly.com/question/11229113

#learnwithBrainly

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The sum of two numbers is 32 One number is 8 more than the other. Identify the system of equations representing this problem
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Step-by-step explanation:

Sum of two numbers is 32:

x + y = 32

One number is 8 more than the other:

x = y + 8

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3 years ago
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