Given the adjacent figure: A 2x +1 В x +1 ABCD is a rectangle of length (2x + 1) and width (x + 1). • EFGH is a square of side (x- 1). • x > 1 • 4, (x) is the area of rectangle and A2 (x) is the area of square. a) Express A,(x) and A2(x) in terms of x. b) Show that the area of colored part is x² + 5x c) Find the value of x, if A, (x) = A2(x). %3D

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter8: Polynomials
Section8.1: Adding And Subtracting Polynomials
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X.
Given the adjacent figure:
A
2x + 1
B
x + 1
• ABCD is a rectangle of length (2x + 1) and width (x + 1).
EFGH is a square of side (x- 1).
• x> 1
• 4, (x) is the area of rectangle and A2(x) is the area of square.
a) Express A1(x) and A2 (x) in terms of x.
b) Show that the area of colored part is x2 + 5x
c) Find the value of x, if A, (x) = A2(x).
Transcribed Image Text:X. Given the adjacent figure: A 2x + 1 B x + 1 • ABCD is a rectangle of length (2x + 1) and width (x + 1). EFGH is a square of side (x- 1). • x> 1 • 4, (x) is the area of rectangle and A2(x) is the area of square. a) Express A1(x) and A2 (x) in terms of x. b) Show that the area of colored part is x2 + 5x c) Find the value of x, if A, (x) = A2(x).
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