AboutAbe Mantell Expertise Hello, I am a college professor of mathematics and regularly teach all levels from elementary mathematics through differential equations, and would be happy to assist anyone with such questions!
Experience Over 15 years teaching at the college level.
Organizations belong to NCTM, NYSMATYC, AMATYC, MAA, NYSUT, AFT.
Education/Credentials B.S. in Mathematics from Rensselaer Polytechnic Institute
M.S. (and A.B.D.) in Applied Mathematics from SUNY @ Stony Brook
Question A rectangular swimming pool is four times longer than is wide. The pool is surrounded by a deck that is 3m wide. Find the dimensions of the pool if the area of the deck is 306m^2
Answer Hello Maria,
Let x=the width of the pool (in meters), then 4x=the length.
The rectangular deck is x+6 meters wide by 4x+6 meters long.
The area of the deck
= (the area of the outer rectangle) - (area of the inner rectangle, i.e. the pool)
= (x+6)(4x+6)-(x)(4x), which is 306
