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------------------------------------------------ A rectangular field has a length of [tex]x[/tex] metres. The width of the field is [tex](2x - 5)[/tex] metres.

(i) Show that the perimeter of the field is [tex](6x - 10)[/tex] metres.

Answer :

Final answer:

The perimeter of the rectangular field with length x metres and width (2x - 5) metres is (6x - 10) metres.

Explanation:

The perimeter of a rectangle is given by the formula P = 2(l + w),

where P is the perimeter, l is the length, and w is the width.

In this case, the length of the field is x metres, and the width is (2x - 5) metres.

Substituting these values into the formula, we have

P = 2(x + (2x - 5)).

Simplifying the expression inside the brackets, we get

P = 2(3x - 5).

Expanding the brackets, we get P = 6x - 10.

Therefore, the perimeter of the field is (6x - 10) metres.

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