Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
Answer:
The longer length is 35ft
Step-by-step explanation:
Given
[tex]Area = 560[/tex]
[tex]Perimeter = 102[/tex]
Required
Determine the longer length
Represent the length with L and width with W
So, we have:
[tex]L * W = 560[/tex] --- Area
[tex]2*(L+W) = 102[/tex] --- Perimeter
Divide both sides by 2 in:
[tex]2*(L+W) = 102[/tex]
[tex]L + W = 51[/tex]
Make L the subject:
[tex]L = 51 - W[/tex]
Substitute 51 - W for L in [tex]L * W = 560[/tex]
[tex](51 - W) * W = 560[/tex]
[tex]51W - W^2 = 560[/tex]
Reorder the equation
[tex]W^2 - 51W + 560 = 0[/tex]
Expand
[tex]W^2 -35W - 16W + 560 = 0[/tex]
[tex]W(W-35)-16(W-35) = 0[/tex]
[tex](W-16)(W-35) = 0[/tex]
Split:
[tex]W - 16 = 0\ \ \ W - 35 = 0[/tex]
[tex]W = 16\ \ \ W = 35[/tex]
This implies that the longer length is 35ft
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.