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Select the equation that most accurately depicts the word problem.

The perimeter of a rectangle is 68 inches. The perimeter equals twice the length of \( L \) inches, plus twice the width of 9 inches.

A. \( 68 = 9(L + 2) \)
B. \( 68 = 2L + 2(9) \)
C. \( 68 = 2(L - 9) \)
D. \( 68 = 9L + 2 \)
E. \( 68 = \frac{2}{L} + \frac{2}{9} \)
F. \( 68 = \frac{L}{2} + 2(9) \)

Answer :

The equation which most accurately represents the word problem, is (b) 68 = 2L + 2(9).

The word problem states that the perimeter of a rectangle is 68 inches, and the perimeter equals twice the length (L) plus twice the width (9). We can represent this relationship by using the equation as :

We know that, the perimeter of rectangle is : 2(length + width),

Substituting the value,

We get,

⇒ 68 = 2(L + 9);

⇒ 68 = 2L + 2(9); and this statement is represented by Option(b).

Therefore, the correct equation is (b) 68 = 2L + 2(9).

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The given question is incomplete, the complete question is

Select the equation that most accurately depicts the word problem.

"The perimeter of a rectangle is 68 inches. The perimeter equals twice the length of L inches, plus twice the width of 9 inches".

(a) 68 = 9(L + 2)

(b) 68 = 2L + 2(9)

(c) 68 = 2(L - 9)

(d) 68 = 9L + 2

(e) 68 = 2/L + 2/9

(f) 68 = L/2 + 2(9)

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