The width of a rectangular field is 20 centimeters. The perimeter is at least 648 centimeters. Write and solve an inequality to find the possible lengths of the field.

Respuesta :

The possible length of the rectangular field as represented by an inequality is; l ⩾ 322 centimetres

The perimeter of a rectangular field is;.

  • Perimeter = (2 × length) + (2 × width)

However; the perimeter of the field is at least 684 centimetres.

Therefore;

[tex]perimeter \geqslant 684cm[/tex]

Therefore;

  • 2l + 2w ⩾ 684

  • 2l + (2 × 20) ⩾ 684

  • 2l + 40 ⩾ 684

  • 2l ⩾ 644

  • l ⩾ 644/2

  • l ⩾ 322 centimetres

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