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16 March, 11:20

Geometry: The rectangle shown has a perimeter of 34cm and the given area. Its length is 5 more than twice it's width. Write and solve a system of equations to find the dimension of the rectangle

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  1. 16 March, 15:17
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    w - width

    2w + 5 - length

    w + w + (2w + 5) + (2w + 5) = 6w + 10 - perimeter

    34 cm - perimeter

    The equation:

    6w + 10 = 34 subtract 10 from both sides

    6w = 24 divide both sides by 6

    w = 4 cm

    2w + 5 = 2 (4) + 5 = 8 + 5 = 13 cm

    Answer: Width = 4cm, Length = 13cm
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