The pond equals seven feet plus x by x. The walk is nine feet +x by x.
asked Nov 22, 2015 in Geometry Answers by anonymous
reshown Nov 23, 2015 by Rod

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.

answered Nov 23, 2015 by Rod Top Rated User (512,520 points)
Welcome to, 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!
80,532 questions
84,498 answers
68,280 users