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Home » Epic ABC Coloring Pages That Will Keep Your Child Engaged & Creative! - DNSFLEX

Epic ABC Coloring Pages That Will Keep Your Child Engaged & Creative! - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Thus, the value of \( c \) is \(\boxed{4}\).

📌 A developer is tasked with determining the maximum area of a rectangular plot with a fixed perimeter of 100 meters. What dimensions maximize the area, and what is the maximum area?

📌 Let the length and width of the rectangle be \( l \) and \( w \) respectively. Given the perimeter is 100 meters:

📌 This is a quadratic equation in the form \( -l^2 + 50l \). The maximum area occurs at the vertex of the parabola, \( l = -\frac{b}{2a} \), where \( a = -1 \) and \( b = 50 \):

📌 l = -\frac{50}{2 \times -1} = 25

📌 Then \( w = 50 - 25 = 25 \). The maximum area is:

📌 Thus, the maximum area is \(\boxed{625}\) square meters.

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