The pond equals seven feet plus x by x. The walk is nine feet +x by x.
in Geometry Answers by
reshown by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

The are of the pond itself is L(L-7) where L=length. The area with the walk adds 2' to length and width making the area (L+2)(L+2-7)=(L+2)(L-5). This is 58 sq ft bigger than the area of the pond: (L+2)(L-5)-L(L-7)=58.

L^2-3L-10-L^2+7L=58; 4L=68, so L=17' and width=10'.

CHECK: Pond area=170 sq ft. Pond area+walk=19*12=228 sq ft. 228-170=58 sq ft.

by Top Rated User (600k points)

Related questions

Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
81,977 questions
86,376 answers
2,240 comments
72,105 users