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Elena L [17]
3 years ago
8

The length of a rectangle is 3 more yrd than twice the width. The area is 869yrd^2

Mathematics
1 answer:
Otrada [13]3 years ago
4 0

Width=20.108 yrd and Length=43.216 yrd

Step-by-step explanation:

Let width = w

Length =3+2w

Area = 869 yrd^2

We need to find length and width of rectangle.

The formula used is:

Area= length*width

Putting values:

Area= length*width

869= (3+2w)*(w)

869= 3w+2w^2

2w^2+3w-869=0

Using quadratic equation to find value of width w:

w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

a=2, b=3 and c=-869

w=\frac{-3\pm\sqrt{(3)^2-4(2)(-869)}}{2(2)}

w=\frac{-3\pm\sqrt{6961}}{4}

w=\frac{-3\pm 83.4}{4}

w=\frac{-3+83.4}{4}\,\,and\,\,w=\frac{-3-83.4}{4}

w=20.108\,\,and\,\,w=-21.6

Since width can't be negative so, width w=20.108

Length will be: L=3+2w = 3+2(20.108)=3+40.216=43.216

So, Width=20.108 yrd and Length=43.216 yrd

Keywords: Area of rectangle

Learn more about Area of rectangle at:

  • brainly.com/question/3306327
  • brainly.com/question/6270221
  • brainly.com/question/6564657

#learnwithBrainly

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