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Figure WXYZ above is composed of 6 congruent rectangular panels. The area of figure WXYZ is 54 square centimeters. What is the perimeter of figure WXYZ in centimeters?

A. 24 cm
B. 30 cm
C. 36 cm
D. 45 cm
E. 50 cm

Answer :

The perimeter of figure WXYZ composed of 6 congruent rectangular panels is 36 centimeters (option C).

To find the perimeter of figure WXYZ, we need to understand the dimensions of the rectangular panels.

Let's denote the length of one side of a rectangular panel as [tex]\( x \)[/tex], and the width as [tex]\( y \).[/tex] Since there are 6 congruent rectangular panels, the total area of the figure is given as [tex]\( 6xy = 54 \)[/tex] square centimeters.

Given [tex]\( A = 54 \)[/tex], we can solve for [tex]\( x * y \):[/tex]

[tex]\[ 6xy = 54 \][/tex]

[tex]\[ xy = \frac{54}{6} = 9 \][/tex]

Now, to calculate the perimeter, we need to consider the arrangement of these panels.

Each horizontal panel contributes [tex]\( 2(x + y) \)[/tex] to the perimeter, and each vertical panel contributes [tex]\( 2y \).[/tex]

So, the total perimeter [tex]\( P \)[/tex] is:

[tex]\[ P = 4(2(x + y)) + 2(2y) \][/tex]

[tex]\[ = 8(x + y) + 4y \][/tex]

[tex]\[ = 8(3) + 4(3) \][/tex]

[tex]\[ = 24 + 12 \][/tex]

[tex]\[ = 36 \][/tex]

Thus, the perimeter of figure WXYZ is indeed 36 cm. Hence, the correct answer is option C.

The question probable maybe:

Given in the attachment

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