At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
The perimeter of the land that Tony will fence around the rectangular piece of land that he owns is 56 meters.
What is the perimeter of a rectangle?
The measure of the boundary of the sides of a rectangles called its perimeter. The perimeter of a rectangle is twice the sum its length and width.
[tex]P=2(l+w)[/tex]
Here, (l) is the length of the rectangle and (w) is the width of the rectangle.
The land has an area of 192 m2 and the length is 4m longer than the width. Let suppose the length is l. Thus,
[tex]l=4+w[/tex]
Now the area of rectangle is the product of length and width. Thus,
[tex]A=l\times w\\192=(4+w)\times w\\192=4w+w^2\\w^2+4w-192=0\\w^2+16w-12w-192=0\\w(w+16)-12(w+16)=0\\(w+16)(w-12)=0\\w=-16,12[/tex]
Taking positive side, w=12. The width of the rectangle is 12 m. The length of the rectangle is 4 m longer than the width. Thus, the length of it si 16 m (12+4). Its, perimeter is,
[tex]P=2(16+12)\\P=56\rm\;m[/tex]
Thus, the perimeter of the land that Tony will fence around the rectangular piece of land that he owns is 56 meters.
Learn more about the perimeter of the rectangle here;
https://brainly.com/question/19819849
#SPJ1
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.
