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$4 (x - 2)$ meters of rope is used to fence the rectangular enclosure shown in Figure Find x.

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answer is C.

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Detailed Solution

Let x be the width of the rectangle =

\frac{A}{Q}

Area of rectangle

= 225

L \times b = 225

25 \times b = 225

b = \frac{225}{25} = 9

Perimeter of rectangle

= 4 (x - 2)

\Rightarrow 2 (l + b) = 4 (x - 2)

\Rightarrow 2 (25 + 9) = 4 (x - 2)

\Rightarrow 2 \times 34 = 4 x - 8

\Rightarrow 68 + 8 = 4 x

\Rightarrow 4 x = 76

\Rightarrow x = \frac{76}{4}

\Rightarrow x = 19

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