A rectangular pool garden measures 21 meters by 34 meters and has a cement walkway around its perimeter, as shown. The width remains constant on all four sides. The garden and walkway have a combined area of 828 square meters.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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A rectangular pool garden measures 21 meters
by 34 meters and has a cement walkway
around its perimeter, as shown. The width
remains constant on all four sides. The garden
and walkway have a combined area of 828
square meters.
W
W
iw
21 m
W
34 m
21 +2w +34 + 2w = 396
W!
(21+34)(w + w) =828
wi
W
Which equation can be used to determine
the width, w, of the walkway?
(21+ 2w)(34 + 2w) = 828
21(34)(w)(w) = 828
W
Transcribed Image Text:A rectangular pool garden measures 21 meters by 34 meters and has a cement walkway around its perimeter, as shown. The width remains constant on all four sides. The garden and walkway have a combined area of 828 square meters. W W iw 21 m W 34 m 21 +2w +34 + 2w = 396 W! (21+34)(w + w) =828 wi W Which equation can be used to determine the width, w, of the walkway? (21+ 2w)(34 + 2w) = 828 21(34)(w)(w) = 828 W
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