2-40. A city wants to hire a contractor to build a walkway around the swimming pool in one of its parks. The dimensions of the walkway along with the dimensions of the pool are shown in Fig. P2.40. The area of the walkway is given by A = (50 + 5x)(30 +2.x) – 1500 (a) If A = 4500 sq. ft., obtain the quadratic equation for x. (b) Solve the quadratic equation found in part (a) by completing the square and the quadratic formula. Walkway Walkway Swimming pool 30 ft 30 + 2x Walkway -4x 50 ft 50 + 5x Figure P2.40 Walkway around the swimming pool. Walkway
2-40. A city wants to hire a contractor to build a walkway around the swimming pool in one of its parks. The dimensions of the walkway along with the dimensions of the pool are shown in Fig. P2.40. The area of the walkway is given by A = (50 + 5x)(30 +2.x) – 1500 (a) If A = 4500 sq. ft., obtain the quadratic equation for x. (b) Solve the quadratic equation found in part (a) by completing the square and the quadratic formula. Walkway Walkway Swimming pool 30 ft 30 + 2x Walkway -4x 50 ft 50 + 5x Figure P2.40 Walkway around the swimming pool. Walkway
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:2-40. A city wants to hire a contractor to build
a walkway around the swimming pool
in one of its parks. The dimensions of
the walkway along with the dimensions
of the pool are shown in Fig. P2.40. The
area of the walkway is given by
A = (50 + 5x)(30 +2.x) – 1500
(a) If A = 4500 sq. ft., obtain the
quadratic equation for x.
(b) Solve the quadratic equation found
in part (a) by completing the square
and the quadratic formula.
Walkway
Walkway
Swimming pool
30 ft 30 + 2x
Walkway
-4x
50 ft
50 + 5x
Figure P2.40 Walkway around the swimming pool.
Walkway
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