24. Maximizing Area A wire 10 cm long is cut into two pieces, one of length x and the other of length 10 - X, as shown in the figure. Each piece is bent into the shape of a square. (a) Find a function that models the total area enclosed by the two squares. (b) Find the value of x that minimizes the total area of the two squares. 10 cm 10 – x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 40E
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1o ined 24. Maximizing Area A wire 10 cm long is cut into two pieces, one of length * and the
other of length 10 - x, as shown in the figure. Each piece is bent into the shape of a
square.
(a) Find a function that models the total area enclosed by the two squares.
(b) Find the value of x that minimizes the total area of the two squares.
10 cm
10 - x-
Transcribed Image Text:1o ined 24. Maximizing Area A wire 10 cm long is cut into two pieces, one of length * and the other of length 10 - x, as shown in the figure. Each piece is bent into the shape of a square. (a) Find a function that models the total area enclosed by the two squares. (b) Find the value of x that minimizes the total area of the two squares. 10 cm 10 - x-
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