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Naddik [55]
3 years ago
7

The length of a rectangle is 5 centimeters less than twice its width. Its area is 42 square centimeters. Find the dimensions of

the rectangle.
The width is
and the length is

​
Mathematics
1 answer:
Mila [183]3 years ago
7 0

Answer:

width=6cm, lenth is 7cm

Step-by-step explanation:

Let width of rectangle be x cm

Twice width=2x cm

length=2x-5 cm

Area of the rectangle= L× W =42cm²

(2x-5) × x =42

x(2x-5)=42

2x²-5x-42=0

solving the quadratic equation

x=6cm

width=6cm

length= (2×6)- 5 =7cm

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After finding the solution of given equations by elimination method

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Step-by-step explanation:

-3x-3y=12 is eq A

-9x+3y= -24 is eq B

To find out value of x and y we will use elimination method

To find value of x add eq A and eq B

(-3x-3y)+ (-9x+3y)= 12 + (-24)\\-3x-3y-9x+3y= 12-24\\-12x = -12\\dividing \,\,by -12\,\,on\,\, both\,\,sides\\\frac{-12x}{-12} = \frac{-12}{-12} \\x= 1

Now to find value of y put x=1 in eq A

(-3 \times 1 )- 3 y=12\\-3 -3y =12\\\\adding\,\,3\,\,on\,\, both\,\,sides\\-3y=12+3\\\\dividing\,\,-3\,\,on\,\,both\,\,sides\\y= \frac{15}{-3} \\y= -5

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and

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For checking the solution

putting value of x and y in eq A

-3x-3y=12\\-3(1)-3 (-5)=12\\-3+15=12\\12=12\\

Hence proved

Putiing value of x and y in eq B

-9x+3y=  -24\\-9(1) + 3 (-5) = -24\\-9 -15 = -24\\-24= -24\\

Hence proved

Keywords: Solving Linear System

  • Learn more about Solving Linear System at: brainly.com/question/9045597
  • brainly.com/question/3739260
  • brainly.com/question/13168205

#learnwithBrainly

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