1. Set up variables:Let 'w' represent the width of the rectangular garden.The length 'l' is twice the width, so l = 2w.2. Use the area formula:The area of a rectangle is given by A = l × w. We know the area is 50 cm², so we can write the equation:50 = (2w) × w3. Solve for the width:50 = 2w²25 = w²w = ±5Since width cannot be negative, w = 5 cm.4. Find the length:l = 2w = 2 × 5 = 10 cmFinal answer:The dimensions of the rectangular garden are:Width (w) = 5 cmLength (l) = 10 cm